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Finding the Fourth Proportional to 79.25, 109.42 and 49.76

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Solution

The fourth proportional to 79.25, 109.42 and 49.76 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.25 : 109.42 = 49.76 : x
  2. Step 2: Convert to fraction form
    79.25/109.42 = 49.76/x
  3. Step 3: Cross multiply
    79.25x = 109.42 × 49.76
  4. Step 4: Simplify right side
    79.25x = 5,443.94
  5. Step 5: Solve for x
    x = 5,443.94/79.25
  6. Step 6: Final answer
    x = 68.69

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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.