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Finding the Fourth Proportional to 129,165.86, 178,242.54 and 71,809.04

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Solution

The fourth proportional to 129,165.86, 178,242.54 and 71,809.04 is: 99,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,165.86 : 178,242.54 = 71,809.04 : x
  2. Step 2: Convert to fraction form
    129,165.86/178,242.54 = 71,809.04/x
  3. Step 3: Cross multiply
    129,165.86x = 178,242.54 × 71,809.04
  4. Step 4: Simplify right side
    129,165.86x = 12,799,425,684.56
  5. Step 5: Solve for x
    x = 12,799,425,684.56/129,165.86
  6. Step 6: Final answer
    x = 99,092.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.