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Finding the Fourth Proportional to 99,432, 137,218.32 and 54,720

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Solution

The fourth proportional to 99,432, 137,218.32 and 54,720 is: 75,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,432 : 137,218.32 = 54,720 : x
  2. Step 2: Convert to fraction form
    99,432/137,218.32 = 54,720/x
  3. Step 3: Cross multiply
    99,432x = 137,218.32 × 54,720
  4. Step 4: Simplify right side
    99,432x = 7,508,586,470.40
  5. Step 5: Solve for x
    x = 7,508,586,470.40/99,432
  6. Step 6: Final answer
    x = 75,514.79

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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.