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Finding the Fourth Proportional to 51,842, 71,545.20 and 29,486

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Solution

The fourth proportional to 51,842, 71,545.20 and 29,486 is: 40,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 71,545.20 = 29,486 : x
  2. Step 2: Convert to fraction form
    51,842/71,545.20 = 29,486/x
  3. Step 3: Cross multiply
    51,842x = 71,545.20 × 29,486
  4. Step 4: Simplify right side
    51,842x = 2,109,581,767.20
  5. Step 5: Solve for x
    x = 2,109,581,767.20/51,842
  6. Step 6: Final answer
    x = 40,692.52

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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.