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Finding the Fourth Proportional to 126.43, 174.42 and 77.29

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Solution

The fourth proportional to 126.43, 174.42 and 77.29 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.43 : 174.42 = 77.29 : x
  2. Step 2: Convert to fraction form
    126.43/174.42 = 77.29/x
  3. Step 3: Cross multiply
    126.43x = 174.42 × 77.29
  4. Step 4: Simplify right side
    126.43x = 13,480.49
  5. Step 5: Solve for x
    x = 13,480.49/126.43
  6. Step 6: Final answer
    x = 106.63

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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.