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Finding the Fourth Proportional to 99,614.61, 137,468.10 and 54,902.61

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Solution

The fourth proportional to 99,614.61, 137,468.10 and 54,902.61 is: 75,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,614.61 : 137,468.10 = 54,902.61 : x
  2. Step 2: Convert to fraction form
    99,614.61/137,468.10 = 54,902.61/x
  3. Step 3: Cross multiply
    99,614.61x = 137,468.10 × 54,902.61
  4. Step 4: Simplify right side
    99,614.61x = 7,547,357,481.74
  5. Step 5: Solve for x
    x = 7,547,357,481.74/99,614.61
  6. Step 6: Final answer
    x = 75,765.57

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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.