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Finding the Fourth Proportional to 99,809.62, 137,735.13 and 54,488.90

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Solution

The fourth proportional to 99,809.62, 137,735.13 and 54,488.90 is: 75,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.62 : 137,735.13 = 54,488.90 : x
  2. Step 2: Convert to fraction form
    99,809.62/137,735.13 = 54,488.90/x
  3. Step 3: Cross multiply
    99,809.62x = 137,735.13 × 54,488.90
  4. Step 4: Simplify right side
    99,809.62x = 7,505,036,273.73
  5. Step 5: Solve for x
    x = 7,505,036,273.73/99,809.62
  6. Step 6: Final answer
    x = 75,193.52

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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.