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Finding the Fourth Proportional to 91.92, 126.85 and 50.48

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Solution

The fourth proportional to 91.92, 126.85 and 50.48 is: 69.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.92 : 126.85 = 50.48 : x
  2. Step 2: Convert to fraction form
    91.92/126.85 = 50.48/x
  3. Step 3: Cross multiply
    91.92x = 126.85 × 50.48
  4. Step 4: Simplify right side
    91.92x = 6,403.09
  5. Step 5: Solve for x
    x = 6,403.09/91.92
  6. Step 6: Final answer
    x = 69.66

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