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Finding the Fourth Proportional to 91.42, 125.85 and 82.19

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Solution

The fourth proportional to 91.42, 125.85 and 82.19 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 125.85 = 82.19 : x
  2. Step 2: Convert to fraction form
    91.42/125.85 = 82.19/x
  3. Step 3: Cross multiply
    91.42x = 125.85 × 82.19
  4. Step 4: Simplify right side
    91.42x = 10,343.61
  5. Step 5: Solve for x
    x = 10,343.61/91.42
  6. Step 6: Final answer
    x = 113.14

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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.