Finding the Fourth Proportional to 136.50, 204.89 and 100.05

Step by Step Solution

1. Step 1: Write the proportion equation
   136.50 : 204.89 = 100.05 : x
2. Step 2: Convert to fraction form
   136.50/204.89 = 100.05/x
3. Step 3: Cross multiply
   136.50x = 204.89 × 100.05
4. Step 4: Simplify right side
   136.50x = 20,498.74
5. Step 5: Solve for x
   x = 20,498.74/136.50
6. Step 6: Final answer
   x = 150.17