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Finding the Fourth Proportional to 80,354.31, 120,532.50 and 55,387.66

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Solution

The fourth proportional to 80,354.31, 120,532.50 and 55,387.66 is: 83,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354.31 : 120,532.50 = 55,387.66 : x
  2. Step 2: Convert to fraction form
    80,354.31/120,532.50 = 55,387.66/x
  3. Step 3: Cross multiply
    80,354.31x = 120,532.50 × 55,387.66
  4. Step 4: Simplify right side
    80,354.31x = 6,676,013,128.95
  5. Step 5: Solve for x
    x = 6,676,013,128.95/80,354.31
  6. Step 6: Final answer
    x = 83,082.20

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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.