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Finding the Fourth Proportional to 77.49, 106.91 and 49.86

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Solution

The fourth proportional to 77.49, 106.91 and 49.86 is: 68.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 106.91 = 49.86 : x
  2. Step 2: Convert to fraction form
    77.49/106.91 = 49.86/x
  3. Step 3: Cross multiply
    77.49x = 106.91 × 49.86
  4. Step 4: Simplify right side
    77.49x = 5,330.28
  5. Step 5: Solve for x
    x = 5,330.28/77.49
  6. Step 6: Final answer
    x = 68.79

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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.