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Finding the Fourth Proportional to 126.70, 191.06 and 112.30

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Solution

The fourth proportional to 126.70, 191.06 and 112.30 is: 169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 191.06 = 112.30 : x
  2. Step 2: Convert to fraction form
    126.70/191.06 = 112.30/x
  3. Step 3: Cross multiply
    126.70x = 191.06 × 112.30
  4. Step 4: Simplify right side
    126.70x = 21,456.04
  5. Step 5: Solve for x
    x = 21,456.04/126.70
  6. Step 6: Final answer
    x = 169.35

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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.