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Finding the Fourth Proportional to 126.31, 174.35 and 73.87

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Solution

The fourth proportional to 126.31, 174.35 and 73.87 is: 101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.31 : 174.35 = 73.87 : x
  2. Step 2: Convert to fraction form
    126.31/174.35 = 73.87/x
  3. Step 3: Cross multiply
    126.31x = 174.35 × 73.87
  4. Step 4: Simplify right side
    126.31x = 12,879.23
  5. Step 5: Solve for x
    x = 12,879.23/126.31
  6. Step 6: Final answer
    x = 101.97

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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.