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Finding the Fourth Proportional to 89.72, 123.67 and 73.19

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Solution

The fourth proportional to 89.72, 123.67 and 73.19 is: 100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.72 : 123.67 = 73.19 : x
  2. Step 2: Convert to fraction form
    89.72/123.67 = 73.19/x
  3. Step 3: Cross multiply
    89.72x = 123.67 × 73.19
  4. Step 4: Simplify right side
    89.72x = 9,050.92
  5. Step 5: Solve for x
    x = 9,050.92/89.72
  6. Step 6: Final answer
    x = 100.88

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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.