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Finding the Fourth Proportional to 138,685.32, 208,023.12 and 38,844.72

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Solution

The fourth proportional to 138,685.32, 208,023.12 and 38,844.72 is: 58,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685.32 : 208,023.12 = 38,844.72 : x
  2. Step 2: Convert to fraction form
    138,685.32/208,023.12 = 38,844.72/x
  3. Step 3: Cross multiply
    138,685.32x = 208,023.12 × 38,844.72
  4. Step 4: Simplify right side
    138,685.32x = 8,080,599,849.93
  5. Step 5: Solve for x
    x = 8,080,599,849.93/138,685.32
  6. Step 6: Final answer
    x = 58,265.72

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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.