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Finding the Fourth Proportional to 77.15, 115.62 and 67.99

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Solution

The fourth proportional to 77.15, 115.62 and 67.99 is: 101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.15 : 115.62 = 67.99 : x
  2. Step 2: Convert to fraction form
    77.15/115.62 = 67.99/x
  3. Step 3: Cross multiply
    77.15x = 115.62 × 67.99
  4. Step 4: Simplify right side
    77.15x = 7,861.59
  5. Step 5: Solve for x
    x = 7,861.59/77.15
  6. Step 6: Final answer
    x = 101.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.