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Finding the Fourth Proportional to 198,620.64, 297,929.76 and 86,286.24

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Solution

The fourth proportional to 198,620.64, 297,929.76 and 86,286.24 is: 129,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,620.64 : 297,929.76 = 86,286.24 : x
  2. Step 2: Convert to fraction form
    198,620.64/297,929.76 = 86,286.24/x
  3. Step 3: Cross multiply
    198,620.64x = 297,929.76 × 86,286.24
  4. Step 4: Simplify right side
    198,620.64x = 25,707,238,774.50
  5. Step 5: Solve for x
    x = 25,707,238,774.50/198,620.64
  6. Step 6: Final answer
    x = 129,428.84

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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.