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Finding the Fourth Proportional to 99.92, 137.61 and 91.75

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Solution

The fourth proportional to 99.92, 137.61 and 91.75 is: 126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.92 : 137.61 = 91.75 : x
  2. Step 2: Convert to fraction form
    99.92/137.61 = 91.75/x
  3. Step 3: Cross multiply
    99.92x = 137.61 × 91.75
  4. Step 4: Simplify right side
    99.92x = 12,625.72
  5. Step 5: Solve for x
    x = 12,625.72/99.92
  6. Step 6: Final answer
    x = 126.36

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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.