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Finding the Fourth Proportional to 79.38, 119.24 and 73.78

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Solution

The fourth proportional to 79.38, 119.24 and 73.78 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.38 : 119.24 = 73.78 : x
  2. Step 2: Convert to fraction form
    79.38/119.24 = 73.78/x
  3. Step 3: Cross multiply
    79.38x = 119.24 × 73.78
  4. Step 4: Simplify right side
    79.38x = 8,797.14
  5. Step 5: Solve for x
    x = 8,797.14/79.38
  6. Step 6: Final answer
    x = 110.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.