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Finding the Fourth Proportional to 126.76, 189.25 and 112.36

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Solution

The fourth proportional to 126.76, 189.25 and 112.36 is: 167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.76 : 189.25 = 112.36 : x
  2. Step 2: Convert to fraction form
    126.76/189.25 = 112.36/x
  3. Step 3: Cross multiply
    126.76x = 189.25 × 112.36
  4. Step 4: Simplify right side
    126.76x = 21,264.13
  5. Step 5: Solve for x
    x = 21,264.13/126.76
  6. Step 6: Final answer
    x = 167.75

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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.