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Finding the Fourth Proportional to 137,202.64, 204,972.56 and 86,879.76

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Solution

The fourth proportional to 137,202.64, 204,972.56 and 86,879.76 is: 129,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.64 : 204,972.56 = 86,879.76 : x
  2. Step 2: Convert to fraction form
    137,202.64/204,972.56 = 86,879.76/x
  3. Step 3: Cross multiply
    137,202.64x = 204,972.56 × 86,879.76
  4. Step 4: Simplify right side
    137,202.64x = 17,807,966,819.39
  5. Step 5: Solve for x
    x = 17,807,966,819.39/137,202.64
  6. Step 6: Final answer
    x = 129,793.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.