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Finding the Fourth Proportional to 126.10, 173.82 and 99.75

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Solution

The fourth proportional to 126.10, 173.82 and 99.75 is: 137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.10 : 173.82 = 99.75 : x
  2. Step 2: Convert to fraction form
    126.10/173.82 = 99.75/x
  3. Step 3: Cross multiply
    126.10x = 173.82 × 99.75
  4. Step 4: Simplify right side
    126.10x = 17,339.57
  5. Step 5: Solve for x
    x = 17,339.57/126.10
  6. Step 6: Final answer
    x = 137.51

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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.