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Finding the Fourth Proportional to 126.16, 189.20 and 80.40

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Solution

The fourth proportional to 126.16, 189.20 and 80.40 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 189.20 = 80.40 : x
  2. Step 2: Convert to fraction form
    126.16/189.20 = 80.40/x
  3. Step 3: Cross multiply
    126.16x = 189.20 × 80.40
  4. Step 4: Simplify right side
    126.16x = 15,211.68
  5. Step 5: Solve for x
    x = 15,211.68/126.16
  6. Step 6: Final answer
    x = 120.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.