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Finding the Fourth Proportional to 126.43, 174.51 and 82.78

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Solution

The fourth proportional to 126.43, 174.51 and 82.78 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.43 : 174.51 = 82.78 : x
  2. Step 2: Convert to fraction form
    126.43/174.51 = 82.78/x
  3. Step 3: Cross multiply
    126.43x = 174.51 × 82.78
  4. Step 4: Simplify right side
    126.43x = 14,445.94
  5. Step 5: Solve for x
    x = 14,445.94/126.43
  6. Step 6: Final answer
    x = 114.26

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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.