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Finding the Fourth Proportional to 80,560.64, 120,853.92 and 27,985.16

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Solution

The fourth proportional to 80,560.64, 120,853.92 and 27,985.16 is: 41,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,560.64 : 120,853.92 = 27,985.16 : x
  2. Step 2: Convert to fraction form
    80,560.64/120,853.92 = 27,985.16/x
  3. Step 3: Cross multiply
    80,560.64x = 120,853.92 × 27,985.16
  4. Step 4: Simplify right side
    80,560.64x = 3,382,116,287.83
  5. Step 5: Solve for x
    x = 3,382,116,287.83/80,560.64
  6. Step 6: Final answer
    x = 41,982.24

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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.