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Finding the Fourth Proportional to 99,876.98, 137,824.13 and 54,545.78

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Solution

The fourth proportional to 99,876.98, 137,824.13 and 54,545.78 is: 75,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.98 : 137,824.13 = 54,545.78 : x
  2. Step 2: Convert to fraction form
    99,876.98/137,824.13 = 54,545.78/x
  3. Step 3: Cross multiply
    99,876.98x = 137,824.13 × 54,545.78
  4. Step 4: Simplify right side
    99,876.98x = 7,517,724,400.94
  5. Step 5: Solve for x
    x = 7,517,724,400.94/99,876.98
  6. Step 6: Final answer
    x = 75,269.84

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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.