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Finding the Fourth Proportional to 80.62, 112.04 and 79.78

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Solution

The fourth proportional to 80.62, 112.04 and 79.78 is: 110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.62 : 112.04 = 79.78 : x
  2. Step 2: Convert to fraction form
    80.62/112.04 = 79.78/x
  3. Step 3: Cross multiply
    80.62x = 112.04 × 79.78
  4. Step 4: Simplify right side
    80.62x = 8,938.55
  5. Step 5: Solve for x
    x = 8,938.55/80.62
  6. Step 6: Final answer
    x = 110.87

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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.