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Finding the Fourth Proportional to 133,856.64, 200,517.28 and 80,519.16

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Solution

The fourth proportional to 133,856.64, 200,517.28 and 80,519.16 is: 120,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,856.64 : 200,517.28 = 80,519.16 : x
  2. Step 2: Convert to fraction form
    133,856.64/200,517.28 = 80,519.16/x
  3. Step 3: Cross multiply
    133,856.64x = 200,517.28 × 80,519.16
  4. Step 4: Simplify right side
    133,856.64x = 16,145,482,951.08
  5. Step 5: Solve for x
    x = 16,145,482,951.08/133,856.64
  6. Step 6: Final answer
    x = 120,617.72

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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.