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Finding the Fourth Proportional to 96.62, 133.02 and 86.24

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Solution

The fourth proportional to 96.62, 133.02 and 86.24 is: 118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 133.02 = 86.24 : x
  2. Step 2: Convert to fraction form
    96.62/133.02 = 86.24/x
  3. Step 3: Cross multiply
    96.62x = 133.02 × 86.24
  4. Step 4: Simplify right side
    96.62x = 11,471.64
  5. Step 5: Solve for x
    x = 11,471.64/96.62
  6. Step 6: Final answer
    x = 118.73

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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.