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Finding the Fourth Proportional to 91.26, 125.24 and 87.84

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Solution

The fourth proportional to 91.26, 125.24 and 87.84 is: 120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.24 = 87.84 : x
  2. Step 2: Convert to fraction form
    91.26/125.24 = 87.84/x
  3. Step 3: Cross multiply
    91.26x = 125.24 × 87.84
  4. Step 4: Simplify right side
    91.26x = 11,000.64
  5. Step 5: Solve for x
    x = 11,000.64/91.26
  6. Step 6: Final answer
    x = 120.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.