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Finding the Fourth Proportional to 126.17, 174.08 and 99.95

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Solution

The fourth proportional to 126.17, 174.08 and 99.95 is: 137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.17 : 174.08 = 99.95 : x
  2. Step 2: Convert to fraction form
    126.17/174.08 = 99.95/x
  3. Step 3: Cross multiply
    126.17x = 174.08 × 99.95
  4. Step 4: Simplify right side
    126.17x = 17,397.93
  5. Step 5: Solve for x
    x = 17,397.93/126.17
  6. Step 6: Final answer
    x = 137.90

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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.