Finding the Fourth Proportional to 142.50, 196.76 and 105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 196.76 = 105.75 : x
2. Step 2: Convert to fraction form
   142.50/196.76 = 105.75/x
3. Step 3: Cross multiply
   142.50x = 196.76 × 105.75
4. Step 4: Simplify right side
   142.50x = 20,807.37
5. Step 5: Solve for x
   x = 20,807.37/142.50
6. Step 6: Final answer
   x = 146.02