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Finding the Fourth Proportional to 77.41, 106.90 and 49.85

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Solution

The fourth proportional to 77.41, 106.90 and 49.85 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.41 : 106.90 = 49.85 : x
  2. Step 2: Convert to fraction form
    77.41/106.90 = 49.85/x
  3. Step 3: Cross multiply
    77.41x = 106.90 × 49.85
  4. Step 4: Simplify right side
    77.41x = 5,328.31
  5. Step 5: Solve for x
    x = 5,328.31/77.41
  6. Step 6: Final answer
    x = 68.83

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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.