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Finding the Fourth Proportional to 83,102,642.80, 124,653,964.20 and 52,491,641.20

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Solution

The fourth proportional to 83,102,642.80, 124,653,964.20 and 52,491,641.20 is: 78,737,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102,642.80 : 124,653,964.20 = 52,491,641.20 : x
  2. Step 2: Convert to fraction form
    83,102,642.80/124,653,964.20 = 52,491,641.20/x
  3. Step 3: Cross multiply
    83,102,642.80x = 124,653,964.20 × 52,491,641.20
  4. Step 4: Simplify right side
    83,102,642.80x = 6,543,291,162,944,046
  5. Step 5: Solve for x
    x = 6,543,291,162,944,046/83,102,642.80
  6. Step 6: Final answer
    x = 78,737,461.80

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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.