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Finding the Fourth Proportional to 111.92, 168.24 and 79.52

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Solution

The fourth proportional to 111.92, 168.24 and 79.52 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 168.24 = 79.52 : x
  2. Step 2: Convert to fraction form
    111.92/168.24 = 79.52/x
  3. Step 3: Cross multiply
    111.92x = 168.24 × 79.52
  4. Step 4: Simplify right side
    111.92x = 13,378.44
  5. Step 5: Solve for x
    x = 13,378.44/111.92
  6. Step 6: Final answer
    x = 119.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.