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Finding the Fourth Proportional to 67.56, 92.54 and 63.83

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Solution

The fourth proportional to 67.56, 92.54 and 63.83 is: 87.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.56 : 92.54 = 63.83 : x
  2. Step 2: Convert to fraction form
    67.56/92.54 = 63.83/x
  3. Step 3: Cross multiply
    67.56x = 92.54 × 63.83
  4. Step 4: Simplify right side
    67.56x = 5,906.05
  5. Step 5: Solve for x
    x = 5,906.05/67.56
  6. Step 6: Final answer
    x = 87.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.