Getting our home appraised...?

We bought our house 4 years ago for 112k, I owe 105k on it. My wife & I have about 40k in debt on school loans, a car, & credit cards. I make 74,500 a year, she doesn't work & we have nothing saved. We have put about 37k worth of improvements into the house in 4 years (new furnace/AC, added a driveway, completely new plumbing, new trim throughout, upgraded the electrical service, new windows, & new landscaping). I looked on Zillow to see what our house may be worth & it says 152,500. Other houses in our neighborhood seem to be in the mid 150s. I'm looking to take out a home equity loan for 40k to buy a piece of 5 acre wooded property. I am also getting a $16,250 bonus this year & plan to pay a few things off. The bank initially only said they could give us 2k. Now an appraiser is coming out... Do you think we stand a shot at getting the loan?