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Finding the Fourth Proportional to 111.78, 166.92 and 91.54

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Solution

The fourth proportional to 111.78, 166.92 and 91.54 is: 136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 166.92 = 91.54 : x
  2. Step 2: Convert to fraction form
    111.78/166.92 = 91.54/x
  3. Step 3: Cross multiply
    111.78x = 166.92 × 91.54
  4. Step 4: Simplify right side
    111.78x = 15,279.86
  5. Step 5: Solve for x
    x = 15,279.86/111.78
  6. Step 6: Final answer
    x = 136.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.