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Finding the Fourth Proportional to 83,839.50, 115,691.49 and 49,378.77

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Solution

The fourth proportional to 83,839.50, 115,691.49 and 49,378.77 is: 68,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839.50 : 115,691.49 = 49,378.77 : x
  2. Step 2: Convert to fraction form
    83,839.50/115,691.49 = 49,378.77/x
  3. Step 3: Cross multiply
    83,839.50x = 115,691.49 × 49,378.77
  4. Step 4: Simplify right side
    83,839.50x = 5,712,703,475.67
  5. Step 5: Solve for x
    x = 5,712,703,475.67/83,839.50
  6. Step 6: Final answer
    x = 68,138.57

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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.