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Finding the Fourth Proportional to 77.37, 106.71 and 49.78

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Solution

The fourth proportional to 77.37, 106.71 and 49.78 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.37 : 106.71 = 49.78 : x
  2. Step 2: Convert to fraction form
    77.37/106.71 = 49.78/x
  3. Step 3: Cross multiply
    77.37x = 106.71 × 49.78
  4. Step 4: Simplify right side
    77.37x = 5,312.02
  5. Step 5: Solve for x
    x = 5,312.02/77.37
  6. Step 6: Final answer
    x = 68.66

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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.