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Finding the Fourth Proportional to 105.92, 158.82 and 51.78

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Solution

The fourth proportional to 105.92, 158.82 and 51.78 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.82 = 51.78 : x
  2. Step 2: Convert to fraction form
    105.92/158.82 = 51.78/x
  3. Step 3: Cross multiply
    105.92x = 158.82 × 51.78
  4. Step 4: Simplify right side
    105.92x = 8,223.70
  5. Step 5: Solve for x
    x = 8,223.70/105.92
  6. Step 6: Final answer
    x = 77.64

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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.