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Finding the Fourth Proportional to 89.27, 123.26 and 73.78

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Solution

The fourth proportional to 89.27, 123.26 and 73.78 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.27 : 123.26 = 73.78 : x
  2. Step 2: Convert to fraction form
    89.27/123.26 = 73.78/x
  3. Step 3: Cross multiply
    89.27x = 123.26 × 73.78
  4. Step 4: Simplify right side
    89.27x = 9,093.75
  5. Step 5: Solve for x
    x = 9,093.75/89.27
  6. Step 6: Final answer
    x = 101.87

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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.