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Finding the Fourth Proportional to 80.87, 112.19 and 77.90

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Solution

The fourth proportional to 80.87, 112.19 and 77.90 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.87 : 112.19 = 77.90 : x
  2. Step 2: Convert to fraction form
    80.87/112.19 = 77.90/x
  3. Step 3: Cross multiply
    80.87x = 112.19 × 77.90
  4. Step 4: Simplify right side
    80.87x = 8,738.65
  5. Step 5: Solve for x
    x = 8,738.65/80.87
  6. Step 6: Final answer
    x = 108.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.