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Finding the Fourth Proportional to 126.49, 174.39 and 82.75

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Solution

The fourth proportional to 126.49, 174.39 and 82.75 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.49 : 174.39 = 82.75 : x
  2. Step 2: Convert to fraction form
    126.49/174.39 = 82.75/x
  3. Step 3: Cross multiply
    126.49x = 174.39 × 82.75
  4. Step 4: Simplify right side
    126.49x = 14,430.77
  5. Step 5: Solve for x
    x = 14,430.77/126.49
  6. Step 6: Final answer
    x = 114.09

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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.