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Finding the Fourth Proportional to 198,591.54, 297,719.64 and 86,186.76

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Solution

The fourth proportional to 198,591.54, 297,719.64 and 86,186.76 is: 129,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,591.54 : 297,719.64 = 86,186.76 : x
  2. Step 2: Convert to fraction form
    198,591.54/297,719.64 = 86,186.76/x
  3. Step 3: Cross multiply
    198,591.54x = 297,719.64 × 86,186.76
  4. Step 4: Simplify right side
    198,591.54x = 25,659,491,159.97
  5. Step 5: Solve for x
    x = 25,659,491,159.97/198,591.54
  6. Step 6: Final answer
    x = 129,207.37

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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.