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Finding the Fourth Proportional to 126.12, 189.39 and 77.47

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Solution

The fourth proportional to 126.12, 189.39 and 77.47 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 189.39 = 77.47 : x
  2. Step 2: Convert to fraction form
    126.12/189.39 = 77.47/x
  3. Step 3: Cross multiply
    126.12x = 189.39 × 77.47
  4. Step 4: Simplify right side
    126.12x = 14,671.86
  5. Step 5: Solve for x
    x = 14,671.86/126.12
  6. Step 6: Final answer
    x = 116.33

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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.