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Finding the Fourth Proportional to 204,433.97, 306,691.08 and 71,318.57

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Solution

The fourth proportional to 204,433.97, 306,691.08 and 71,318.57 is: 106,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,433.97 : 306,691.08 = 71,318.57 : x
  2. Step 2: Convert to fraction form
    204,433.97/306,691.08 = 71,318.57/x
  3. Step 3: Cross multiply
    204,433.97x = 306,691.08 × 71,318.57
  4. Step 4: Simplify right side
    204,433.97x = 21,872,769,756.64
  5. Step 5: Solve for x
    x = 21,872,769,756.64/204,433.97
  6. Step 6: Final answer
    x = 106,991.85

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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.