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Finding the Fourth Proportional to 126.70, 191.02 and 118.20

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Solution

The fourth proportional to 126.70, 191.02 and 118.20 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 191.02 = 118.20 : x
  2. Step 2: Convert to fraction form
    126.70/191.02 = 118.20/x
  3. Step 3: Cross multiply
    126.70x = 191.02 × 118.20
  4. Step 4: Simplify right side
    126.70x = 22,578.56
  5. Step 5: Solve for x
    x = 22,578.56/126.70
  6. Step 6: Final answer
    x = 178.20

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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.