It is far from a known event that Seetha was not born to a mother, rather was unearthed when the king Janak was ploughing the earth.
In my understanding the ploughing is associated with farmers and why the king was on to that action?
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Janaka was not ploughing for farming purposes, he was doing the ceremonial ploughing performed in the beginning of a Yagna, as described in this chapter of the Bala Kanda of the Ramayana:
Later, when I was ploughing the ritual field then raised by the plough [from the furrow is a baby girl... since she is] gained while consecrating the ritual-field, she is named as Seetha, and thus she is renowned. Hers is a non-uterine birth as she surfaced from the surface of the earth, but fostered as my own soul-born girl and I determined [to give her in marriage to a bridegroom where his] boldness is the only bounty.
By the way, this is the same way that Venkateshwara's wife Padmavathi was born; the king Akasa Raja was doing the ceremonial ploughing for a Putrakameshthi Yagna when he spotted a baby girl. See the Tirumala Sthala Purana I linked to in my question here.
Society at the time of Janaka was an agrarian society. Kings led by example. Janaka's name means 'Progenitor' or 'Father'. Sita means 'Furrow'. A plow is used to place the seed in the earth and 'create' the furrow. By plowing the earth, Janaka - the father - was placing the seed into mother Earth. Sita was not born of a human mother, but mother Earth. The story is highly symbolic, although not having a human mother, Sita is still born from the union of a father and mother. See Ramayana 1.66.14-15