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Finding the Fourth Proportional to 138,509.60, 207,690.55 and 71,882.64

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Solution

The fourth proportional to 138,509.60, 207,690.55 and 71,882.64 is: 107,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,509.60 : 207,690.55 = 71,882.64 : x
  2. Step 2: Convert to fraction form
    138,509.60/207,690.55 = 71,882.64/x
  3. Step 3: Cross multiply
    138,509.60x = 207,690.55 × 71,882.64
  4. Step 4: Simplify right side
    138,509.60x = 14,929,344,857.35
  5. Step 5: Solve for x
    x = 14,929,344,857.35/138,509.60
  6. Step 6: Final answer
    x = 107,785.64

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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.