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Finding the Fourth Proportional to 99.24, 137.07 and 81.02

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Solution

The fourth proportional to 99.24, 137.07 and 81.02 is: 111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 137.07 = 81.02 : x
  2. Step 2: Convert to fraction form
    99.24/137.07 = 81.02/x
  3. Step 3: Cross multiply
    99.24x = 137.07 × 81.02
  4. Step 4: Simplify right side
    99.24x = 11,104.73
  5. Step 5: Solve for x
    x = 11,104.73/99.24
  6. Step 6: Final answer
    x = 111.90

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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.