Potential/kinetic energy question?

I agree that your answer of 121195.62J is the Ep at the top. (Be careful, it is not 9.8^2, just 9.8.) But when I calculate Ek = 0. 5mv^2 for the bottom I get 0.5*453*9.1*9.1 =18756.47J. There is an arithmetic error in your answer. But this is only a minor concern. We learn that Ep at the top is equal to Ek at the bottom according to the law of conservation of energy.In a real life stuation Ek will work out a little lower than Ep because of air friction reducing the final velocity of the object. But it will not reduce it to the extent that Ek is equal to approx 1/6 th of Ep.I have calculated the theoretical final velocity of an object falling from a height of 27.3m. This is 23.14m/s. If you use this as the final velocity you will find that Ep=Ek (very closely, allowing for rounding). Please check with the person that gave you the question I am sure that the final velocity is wrong. Possibly it should be 19.1m/s which would give Ek= 82629.47J which is better but still low. Our problems should as far as possible comply with the theory we learn, Good luck with your studies