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Finding the Fourth Proportional to 91.78, 126.68 and 60.75

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Solution

The fourth proportional to 91.78, 126.68 and 60.75 is: 83.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 126.68 = 60.75 : x
  2. Step 2: Convert to fraction form
    91.78/126.68 = 60.75/x
  3. Step 3: Cross multiply
    91.78x = 126.68 × 60.75
  4. Step 4: Simplify right side
    91.78x = 7,695.81
  5. Step 5: Solve for x
    x = 7,695.81/91.78
  6. Step 6: Final answer
    x = 83.85

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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.