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Finding the Fourth Proportional to 77.87, 116.27 and 67.03

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Solution

The fourth proportional to 77.87, 116.27 and 67.03 is: 100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.87 : 116.27 = 67.03 : x
  2. Step 2: Convert to fraction form
    77.87/116.27 = 67.03/x
  3. Step 3: Cross multiply
    77.87x = 116.27 × 67.03
  4. Step 4: Simplify right side
    77.87x = 7,793.20
  5. Step 5: Solve for x
    x = 7,793.20/77.87
  6. Step 6: Final answer
    x = 100.08

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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.