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Finding the Fourth Proportional to 126.88, 190.16 and 65.86

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Solution

The fourth proportional to 126.88, 190.16 and 65.86 is: 98.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.88 : 190.16 = 65.86 : x
  2. Step 2: Convert to fraction form
    126.88/190.16 = 65.86/x
  3. Step 3: Cross multiply
    126.88x = 190.16 × 65.86
  4. Step 4: Simplify right side
    126.88x = 12,523.94
  5. Step 5: Solve for x
    x = 12,523.94/126.88
  6. Step 6: Final answer
    x = 98.71

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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.