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Finding the Fourth Proportional to 138,627.62, 207,909.64 and 38,794.82

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Solution

The fourth proportional to 138,627.62, 207,909.64 and 38,794.82 is: 58,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,627.62 : 207,909.64 = 38,794.82 : x
  2. Step 2: Convert to fraction form
    138,627.62/207,909.64 = 38,794.82/x
  3. Step 3: Cross multiply
    138,627.62x = 207,909.64 × 38,794.82
  4. Step 4: Simplify right side
    138,627.62x = 8,065,817,347.61
  5. Step 5: Solve for x
    x = 8,065,817,347.61/138,627.62
  6. Step 6: Final answer
    x = 58,183.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.