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Finding the Fourth Proportional to 99,454, 137,248.68 and 54,742

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Solution

The fourth proportional to 99,454, 137,248.68 and 54,742 is: 75,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,454 : 137,248.68 = 54,742 : x
  2. Step 2: Convert to fraction form
    99,454/137,248.68 = 54,742/x
  3. Step 3: Cross multiply
    99,454x = 137,248.68 × 54,742
  4. Step 4: Simplify right side
    99,454x = 7,513,267,240.56
  5. Step 5: Solve for x
    x = 7,513,267,240.56/99,454
  6. Step 6: Final answer
    x = 75,545.15

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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.