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Finding the Fourth Proportional to 80,573.76, 120,857.00 and 27,987.35

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Solution

The fourth proportional to 80,573.76, 120,857.00 and 27,987.35 is: 41,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573.76 : 120,857.00 = 27,987.35 : x
  2. Step 2: Convert to fraction form
    80,573.76/120,857.00 = 27,987.35/x
  3. Step 3: Cross multiply
    80,573.76x = 120,857.00 × 27,987.35
  4. Step 4: Simplify right side
    80,573.76x = 3,382,466,414.73
  5. Step 5: Solve for x
    x = 3,382,466,414.73/80,573.76
  6. Step 6: Final answer
    x = 41,979.75

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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.