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Finding the Fourth Proportional to 79.69, 109.89 and 61.23

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Solution

The fourth proportional to 79.69, 109.89 and 61.23 is: 84.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.69 : 109.89 = 61.23 : x
  2. Step 2: Convert to fraction form
    79.69/109.89 = 61.23/x
  3. Step 3: Cross multiply
    79.69x = 109.89 × 61.23
  4. Step 4: Simplify right side
    79.69x = 6,728.56
  5. Step 5: Solve for x
    x = 6,728.56/79.69
  6. Step 6: Final answer
    x = 84.43

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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.