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Finding the Fourth Proportional to 91.68, 126.51 and 52.86

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Solution

The fourth proportional to 91.68, 126.51 and 52.86 is: 72.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.68 : 126.51 = 52.86 : x
  2. Step 2: Convert to fraction form
    91.68/126.51 = 52.86/x
  3. Step 3: Cross multiply
    91.68x = 126.51 × 52.86
  4. Step 4: Simplify right side
    91.68x = 6,687.32
  5. Step 5: Solve for x
    x = 6,687.32/91.68
  6. Step 6: Final answer
    x = 72.94

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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.