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Finding the Fourth Proportional to 138,819.71, 208,141.47 and 117,767.00

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Solution

The fourth proportional to 138,819.71, 208,141.47 and 117,767.00 is: 176,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,819.71 : 208,141.47 = 117,767.00 : x
  2. Step 2: Convert to fraction form
    138,819.71/208,141.47 = 117,767.00/x
  3. Step 3: Cross multiply
    138,819.71x = 208,141.47 × 117,767.00
  4. Step 4: Simplify right side
    138,819.71x = 24,512,195,456.78
  5. Step 5: Solve for x
    x = 24,512,195,456.78/138,819.71
  6. Step 6: Final answer
    x = 176,575.76

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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.