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Finding the Fourth Proportional to 126.87, 174.89 and 103.52

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Solution

The fourth proportional to 126.87, 174.89 and 103.52 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.87 : 174.89 = 103.52 : x
  2. Step 2: Convert to fraction form
    126.87/174.89 = 103.52/x
  3. Step 3: Cross multiply
    126.87x = 174.89 × 103.52
  4. Step 4: Simplify right side
    126.87x = 18,103.22
  5. Step 5: Solve for x
    x = 18,103.22/126.87
  6. Step 6: Final answer
    x = 142.69

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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.