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Finding the Fourth Proportional to 83,154.31, 124,780.67 and 30,600.70

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Solution

The fourth proportional to 83,154.31, 124,780.67 and 30,600.70 is: 45,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.31 : 124,780.67 = 30,600.70 : x
  2. Step 2: Convert to fraction form
    83,154.31/124,780.67 = 30,600.70/x
  3. Step 3: Cross multiply
    83,154.31x = 124,780.67 × 30,600.70
  4. Step 4: Simplify right side
    83,154.31x = 3,818,375,498.27
  5. Step 5: Solve for x
    x = 3,818,375,498.27/83,154.31
  6. Step 6: Final answer
    x = 45,919.15

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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.