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Finding the Fourth Proportional to 77.94, 116.13 and 69.42

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Solution

The fourth proportional to 77.94, 116.13 and 69.42 is: 103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 116.13 = 69.42 : x
  2. Step 2: Convert to fraction form
    77.94/116.13 = 69.42/x
  3. Step 3: Cross multiply
    77.94x = 116.13 × 69.42
  4. Step 4: Simplify right side
    77.94x = 8,061.74
  5. Step 5: Solve for x
    x = 8,061.74/77.94
  6. Step 6: Final answer
    x = 103.44

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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.