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Finding the Fourth Proportional to 79.32, 108.72 and 77.94

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Solution

The fourth proportional to 79.32, 108.72 and 77.94 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.32 : 108.72 = 77.94 : x
  2. Step 2: Convert to fraction form
    79.32/108.72 = 77.94/x
  3. Step 3: Cross multiply
    79.32x = 108.72 × 77.94
  4. Step 4: Simplify right side
    79.32x = 8,473.64
  5. Step 5: Solve for x
    x = 8,473.64/79.32
  6. Step 6: Final answer
    x = 106.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.