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Finding the Fourth Proportional to 198,624.64, 297,935.76 and 86,290.24

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Solution

The fourth proportional to 198,624.64, 297,935.76 and 86,290.24 is: 129,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,624.64 : 297,935.76 = 86,290.24 : x
  2. Step 2: Convert to fraction form
    198,624.64/297,935.76 = 86,290.24/x
  3. Step 3: Cross multiply
    198,624.64x = 297,935.76 × 86,290.24
  4. Step 4: Simplify right side
    198,624.64x = 25,708,948,234.98
  5. Step 5: Solve for x
    x = 25,708,948,234.98/198,624.64
  6. Step 6: Final answer
    x = 129,434.84

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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.