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Finding the Fourth Proportional to 126.82, 175.11 and 99.17

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Solution

The fourth proportional to 126.82, 175.11 and 99.17 is: 136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 175.11 = 99.17 : x
  2. Step 2: Convert to fraction form
    126.82/175.11 = 99.17/x
  3. Step 3: Cross multiply
    126.82x = 175.11 × 99.17
  4. Step 4: Simplify right side
    126.82x = 17,366.61
  5. Step 5: Solve for x
    x = 17,366.61/126.82
  6. Step 6: Final answer
    x = 136.94

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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.