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Finding the Fourth Proportional to 80,387.73, 120,598.87 and 27,085

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Solution

The fourth proportional to 80,387.73, 120,598.87 and 27,085 is: 40,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387.73 : 120,598.87 = 27,085 : x
  2. Step 2: Convert to fraction form
    80,387.73/120,598.87 = 27,085/x
  3. Step 3: Cross multiply
    80,387.73x = 120,598.87 × 27,085
  4. Step 4: Simplify right side
    80,387.73x = 3,266,420,326.24
  5. Step 5: Solve for x
    x = 3,266,420,326.24/80,387.73
  6. Step 6: Final answer
    x = 40,633.32

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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.