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Finding the Fourth Proportional to 126.96, 191.42 and 119.12

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Solution

The fourth proportional to 126.96, 191.42 and 119.12 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 191.42 = 119.12 : x
  2. Step 2: Convert to fraction form
    126.96/191.42 = 119.12/x
  3. Step 3: Cross multiply
    126.96x = 191.42 × 119.12
  4. Step 4: Simplify right side
    126.96x = 22,801.95
  5. Step 5: Solve for x
    x = 22,801.95/126.96
  6. Step 6: Final answer
    x = 179.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.