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Finding the Fourth Proportional to 80.92, 111.61 and 48.15

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Solution

The fourth proportional to 80.92, 111.61 and 48.15 is: 66.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.92 : 111.61 = 48.15 : x
  2. Step 2: Convert to fraction form
    80.92/111.61 = 48.15/x
  3. Step 3: Cross multiply
    80.92x = 111.61 × 48.15
  4. Step 4: Simplify right side
    80.92x = 5,374.02
  5. Step 5: Solve for x
    x = 5,374.02/80.92
  6. Step 6: Final answer
    x = 66.41

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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.