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Finding the Fourth Proportional to 126.26, 189.42 and 71.46

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Solution

The fourth proportional to 126.26, 189.42 and 71.46 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.26 : 189.42 = 71.46 : x
  2. Step 2: Convert to fraction form
    126.26/189.42 = 71.46/x
  3. Step 3: Cross multiply
    126.26x = 189.42 × 71.46
  4. Step 4: Simplify right side
    126.26x = 13,535.95
  5. Step 5: Solve for x
    x = 13,535.95/126.26
  6. Step 6: Final answer
    x = 107.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.