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Finding the Fourth Proportional to 126.15, 188.76 and 95.47

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Solution

The fourth proportional to 126.15, 188.76 and 95.47 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.15 : 188.76 = 95.47 : x
  2. Step 2: Convert to fraction form
    126.15/188.76 = 95.47/x
  3. Step 3: Cross multiply
    126.15x = 188.76 × 95.47
  4. Step 4: Simplify right side
    126.15x = 18,020.92
  5. Step 5: Solve for x
    x = 18,020.92/126.15
  6. Step 6: Final answer
    x = 142.85

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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.