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Finding the Fourth Proportional to 91.62, 126.44 and 54.78

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Solution

The fourth proportional to 91.62, 126.44 and 54.78 is: 75.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 126.44 = 54.78 : x
  2. Step 2: Convert to fraction form
    91.62/126.44 = 54.78/x
  3. Step 3: Cross multiply
    91.62x = 126.44 × 54.78
  4. Step 4: Simplify right side
    91.62x = 6,926.11
  5. Step 5: Solve for x
    x = 6,926.11/91.62
  6. Step 6: Final answer
    x = 75.60

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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.