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Finding the Fourth Proportional to 83,102,643.80, 124,653,965.70 and 52,491,642.20

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Solution

The fourth proportional to 83,102,643.80, 124,653,965.70 and 52,491,642.20 is: 78,737,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102,643.80 : 124,653,965.70 = 52,491,642.20 : x
  2. Step 2: Convert to fraction form
    83,102,643.80/124,653,965.70 = 52,491,642.20/x
  3. Step 3: Cross multiply
    83,102,643.80x = 124,653,965.70 × 52,491,642.20
  4. Step 4: Simplify right side
    83,102,643.80x = 6,543,291,366,335,473
  5. Step 5: Solve for x
    x = 6,543,291,366,335,473/83,102,643.80
  6. Step 6: Final answer
    x = 78,737,463.30

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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.