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Finding the Fourth Proportional to 198,562.56, 297,865.62 and 86,165.52

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Solution

The fourth proportional to 198,562.56, 297,865.62 and 86,165.52 is: 129,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,562.56 : 297,865.62 = 86,165.52 : x
  2. Step 2: Convert to fraction form
    198,562.56/297,865.62 = 86,165.52/x
  3. Step 3: Cross multiply
    198,562.56x = 297,865.62 × 86,165.52
  4. Step 4: Simplify right side
    198,562.56x = 25,665,746,037.42
  5. Step 5: Solve for x
    x = 25,665,746,037.42/198,562.56
  6. Step 6: Final answer
    x = 129,257.73

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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.