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Finding the Fourth Proportional to 80,304.64, 120,473.12 and 27,716.16

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Solution

The fourth proportional to 80,304.64, 120,473.12 and 27,716.16 is: 41,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304.64 : 120,473.12 = 27,716.16 : x
  2. Step 2: Convert to fraction form
    80,304.64/120,473.12 = 27,716.16/x
  3. Step 3: Cross multiply
    80,304.64x = 120,473.12 × 27,716.16
  4. Step 4: Simplify right side
    80,304.64x = 3,339,052,269.62
  5. Step 5: Solve for x
    x = 3,339,052,269.62/80,304.64
  6. Step 6: Final answer
    x = 41,579.82

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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.