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Finding the Fourth Proportional to 126.76, 189.03 and 112.76

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Solution

The fourth proportional to 126.76, 189.03 and 112.76 is: 168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.76 : 189.03 = 112.76 : x
  2. Step 2: Convert to fraction form
    126.76/189.03 = 112.76/x
  3. Step 3: Cross multiply
    126.76x = 189.03 × 112.76
  4. Step 4: Simplify right side
    126.76x = 21,314.08
  5. Step 5: Solve for x
    x = 21,314.08/126.76
  6. Step 6: Final answer
    x = 168.15

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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.