Finding the Fourth Proportional to 142.34, 196.43 and 83.32

Step by Step Solution

1. Step 1: Write the proportion equation
   142.34 : 196.43 = 83.32 : x
2. Step 2: Convert to fraction form
   142.34/196.43 = 83.32/x
3. Step 3: Cross multiply
   142.34x = 196.43 × 83.32
4. Step 4: Simplify right side
   142.34x = 16,365.15
5. Step 5: Solve for x
   x = 16,365.15/142.34
6. Step 6: Final answer
   x = 114.98