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Finding the Fourth Proportional to 126.77, 189.39 and 80.75

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Solution

The fourth proportional to 126.77, 189.39 and 80.75 is: 120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.77 : 189.39 = 80.75 : x
  2. Step 2: Convert to fraction form
    126.77/189.39 = 80.75/x
  3. Step 3: Cross multiply
    126.77x = 189.39 × 80.75
  4. Step 4: Simplify right side
    126.77x = 15,293.24
  5. Step 5: Solve for x
    x = 15,293.24/126.77
  6. Step 6: Final answer
    x = 120.64

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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.