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Finding the Fourth Proportional to 126.82, 189.32 and 109.54

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Solution

The fourth proportional to 126.82, 189.32 and 109.54 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 189.32 = 109.54 : x
  2. Step 2: Convert to fraction form
    126.82/189.32 = 109.54/x
  3. Step 3: Cross multiply
    126.82x = 189.32 × 109.54
  4. Step 4: Simplify right side
    126.82x = 20,738.11
  5. Step 5: Solve for x
    x = 20,738.11/126.82
  6. Step 6: Final answer
    x = 163.52

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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.