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Finding the Fourth Proportional to 83,034.10, 124,600.36 and 77,780.14

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Solution

The fourth proportional to 83,034.10, 124,600.36 and 77,780.14 is: 116,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.10 : 124,600.36 = 77,780.14 : x
  2. Step 2: Convert to fraction form
    83,034.10/124,600.36 = 77,780.14/x
  3. Step 3: Cross multiply
    83,034.10x = 124,600.36 × 77,780.14
  4. Step 4: Simplify right side
    83,034.10x = 9,691,432,821.85
  5. Step 5: Solve for x
    x = 9,691,432,821.85/83,034.10
  6. Step 6: Final answer
    x = 116,716.30

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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.