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Finding the Fourth Proportional to 91.62, 126.24 and 66.66

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Solution

The fourth proportional to 91.62, 126.24 and 66.66 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 126.24 = 66.66 : x
  2. Step 2: Convert to fraction form
    91.62/126.24 = 66.66/x
  3. Step 3: Cross multiply
    91.62x = 126.24 × 66.66
  4. Step 4: Simplify right side
    91.62x = 8,415.16
  5. Step 5: Solve for x
    x = 8,415.16/91.62
  6. Step 6: Final answer
    x = 91.85

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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.