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Finding the Fourth Proportional to 261,251.35, 391,932.44 and 83,882.95

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Solution

The fourth proportional to 261,251.35, 391,932.44 and 83,882.95 is: 125,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,251.35 : 391,932.44 = 83,882.95 : x
  2. Step 2: Convert to fraction form
    261,251.35/391,932.44 = 83,882.95/x
  3. Step 3: Cross multiply
    261,251.35x = 391,932.44 × 83,882.95
  4. Step 4: Simplify right side
    261,251.35x = 32,876,449,267.90
  5. Step 5: Solve for x
    x = 32,876,449,267.90/261,251.35
  6. Step 6: Final answer
    x = 125,842.22

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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.