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Finding the Fourth Proportional to 83,499, 115,229.03 and 49,965

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Solution

The fourth proportional to 83,499, 115,229.03 and 49,965 is: 68,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499 : 115,229.03 = 49,965 : x
  2. Step 2: Convert to fraction form
    83,499/115,229.03 = 49,965/x
  3. Step 3: Cross multiply
    83,499x = 115,229.03 × 49,965
  4. Step 4: Simplify right side
    83,499x = 5,757,418,234.13
  5. Step 5: Solve for x
    x = 5,757,418,234.13/83,499
  6. Step 6: Final answer
    x = 68,951.94

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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.