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Finding the Fourth Proportional to 83,456.98, 115,136.85 and 47,639.86

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Solution

The fourth proportional to 83,456.98, 115,136.85 and 47,639.86 is: 65,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456.98 : 115,136.85 = 47,639.86 : x
  2. Step 2: Convert to fraction form
    83,456.98/115,136.85 = 47,639.86/x
  3. Step 3: Cross multiply
    83,456.98x = 115,136.85 × 47,639.86
  4. Step 4: Simplify right side
    83,456.98x = 5,485,103,414.84
  5. Step 5: Solve for x
    x = 5,485,103,414.84/83,456.98
  6. Step 6: Final answer
    x = 65,723.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.