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Finding the Fourth Proportional to 126.35, 174.31 and 82.71

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Solution

The fourth proportional to 126.35, 174.31 and 82.71 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.35 : 174.31 = 82.71 : x
  2. Step 2: Convert to fraction form
    126.35/174.31 = 82.71/x
  3. Step 3: Cross multiply
    126.35x = 174.31 × 82.71
  4. Step 4: Simplify right side
    126.35x = 14,417.18
  5. Step 5: Solve for x
    x = 14,417.18/126.35
  6. Step 6: Final answer
    x = 114.11

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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.