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Finding the Fourth Proportional to 126.83, 191.03 and 115.76

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Solution

The fourth proportional to 126.83, 191.03 and 115.76 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.83 : 191.03 = 115.76 : x
  2. Step 2: Convert to fraction form
    126.83/191.03 = 115.76/x
  3. Step 3: Cross multiply
    126.83x = 191.03 × 115.76
  4. Step 4: Simplify right side
    126.83x = 22,112.53
  5. Step 5: Solve for x
    x = 22,112.53/126.83
  6. Step 6: Final answer
    x = 174.35

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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.