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Finding the Fourth Proportional to 91.26, 125.94 and 62.16

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Solution

The fourth proportional to 91.26, 125.94 and 62.16 is: 85.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.94 = 62.16 : x
  2. Step 2: Convert to fraction form
    91.26/125.94 = 62.16/x
  3. Step 3: Cross multiply
    91.26x = 125.94 × 62.16
  4. Step 4: Simplify right side
    91.26x = 7,828.43
  5. Step 5: Solve for x
    x = 7,828.43/91.26
  6. Step 6: Final answer
    x = 85.78

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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.