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Finding the Fourth Proportional to 89.54, 123.43 and 73.97

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Solution

The fourth proportional to 89.54, 123.43 and 73.97 is: 101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.54 : 123.43 = 73.97 : x
  2. Step 2: Convert to fraction form
    89.54/123.43 = 73.97/x
  3. Step 3: Cross multiply
    89.54x = 123.43 × 73.97
  4. Step 4: Simplify right side
    89.54x = 9,129.32
  5. Step 5: Solve for x
    x = 9,129.32/89.54
  6. Step 6: Final answer
    x = 101.96

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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.