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Finding the Fourth Proportional to 89.74, 122.96 and 81.52

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Solution

The fourth proportional to 89.74, 122.96 and 81.52 is: 111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 122.96 = 81.52 : x
  2. Step 2: Convert to fraction form
    89.74/122.96 = 81.52/x
  3. Step 3: Cross multiply
    89.74x = 122.96 × 81.52
  4. Step 4: Simplify right side
    89.74x = 10,023.70
  5. Step 5: Solve for x
    x = 10,023.70/89.74
  6. Step 6: Final answer
    x = 111.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.