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Finding the Fourth Proportional to 80.92, 111.64 and 49.81

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Solution

The fourth proportional to 80.92, 111.64 and 49.81 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.92 : 111.64 = 49.81 : x
  2. Step 2: Convert to fraction form
    80.92/111.64 = 49.81/x
  3. Step 3: Cross multiply
    80.92x = 111.64 × 49.81
  4. Step 4: Simplify right side
    80.92x = 5,560.52
  5. Step 5: Solve for x
    x = 5,560.52/80.92
  6. Step 6: Final answer
    x = 68.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.