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Finding the Fourth Proportional to 99,497, 137,308.32 and 54,177.47

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Solution

The fourth proportional to 99,497, 137,308.32 and 54,177.47 is: 74,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,497 : 137,308.32 = 54,177.47 : x
  2. Step 2: Convert to fraction form
    99,497/137,308.32 = 54,177.47/x
  3. Step 3: Cross multiply
    99,497x = 137,308.32 × 54,177.47
  4. Step 4: Simplify right side
    99,497x = 7,439,016,701.01
  5. Step 5: Solve for x
    x = 7,439,016,701.01/99,497
  6. Step 6: Final answer
    x = 74,766.24

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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.