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Finding the Fourth Proportional to 126.85, 189.18 and 114.55

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Solution

The fourth proportional to 126.85, 189.18 and 114.55 is: 170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.85 : 189.18 = 114.55 : x
  2. Step 2: Convert to fraction form
    126.85/189.18 = 114.55/x
  3. Step 3: Cross multiply
    126.85x = 189.18 × 114.55
  4. Step 4: Simplify right side
    126.85x = 21,669.62
  5. Step 5: Solve for x
    x = 21,669.62/126.85
  6. Step 6: Final answer
    x = 170.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.