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Finding the Fourth Proportional to 114,740.10, 172,110.15 and 102,492.90

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Solution

The fourth proportional to 114,740.10, 172,110.15 and 102,492.90 is: 153,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,740.10 : 172,110.15 = 102,492.90 : x
  2. Step 2: Convert to fraction form
    114,740.10/172,110.15 = 102,492.90/x
  3. Step 3: Cross multiply
    114,740.10x = 172,110.15 × 102,492.90
  4. Step 4: Simplify right side
    114,740.10x = 17,640,068,392.94
  5. Step 5: Solve for x
    x = 17,640,068,392.94/114,740.10
  6. Step 6: Final answer
    x = 153,739.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.