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Finding the Fourth Proportional to 198,473, 273,892.74 and 109,049

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Solution

The fourth proportional to 198,473, 273,892.74 and 109,049 is: 150,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,473 : 273,892.74 = 109,049 : x
  2. Step 2: Convert to fraction form
    198,473/273,892.74 = 109,049/x
  3. Step 3: Cross multiply
    198,473x = 273,892.74 × 109,049
  4. Step 4: Simplify right side
    198,473x = 29,867,729,404.26
  5. Step 5: Solve for x
    x = 29,867,729,404.26/198,473
  6. Step 6: Final answer
    x = 150,487.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.