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Finding the Fourth Proportional to 79.13, 109.22 and 49.65

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Solution

The fourth proportional to 79.13, 109.22 and 49.65 is: 68.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.13 : 109.22 = 49.65 : x
  2. Step 2: Convert to fraction form
    79.13/109.22 = 49.65/x
  3. Step 3: Cross multiply
    79.13x = 109.22 × 49.65
  4. Step 4: Simplify right side
    79.13x = 5,422.12
  5. Step 5: Solve for x
    x = 5,422.12/79.13
  6. Step 6: Final answer
    x = 68.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.