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Finding the Fourth Proportional to 77.87, 116.22 and 71.46

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Solution

The fourth proportional to 77.87, 116.22 and 71.46 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.87 : 116.22 = 71.46 : x
  2. Step 2: Convert to fraction form
    77.87/116.22 = 71.46/x
  3. Step 3: Cross multiply
    77.87x = 116.22 × 71.46
  4. Step 4: Simplify right side
    77.87x = 8,305.08
  5. Step 5: Solve for x
    x = 8,305.08/77.87
  6. Step 6: Final answer
    x = 106.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.