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Finding the Fourth Proportional to 91.26, 125.94 and 51.92

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Solution

The fourth proportional to 91.26, 125.94 and 51.92 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.94 = 51.92 : x
  2. Step 2: Convert to fraction form
    91.26/125.94 = 51.92/x
  3. Step 3: Cross multiply
    91.26x = 125.94 × 51.92
  4. Step 4: Simplify right side
    91.26x = 6,538.80
  5. Step 5: Solve for x
    x = 6,538.80/91.26
  6. Step 6: Final answer
    x = 71.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.