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Finding the Fourth Proportional to 79.74, 118.91 and 71.84

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Solution

The fourth proportional to 79.74, 118.91 and 71.84 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.74 : 118.91 = 71.84 : x
  2. Step 2: Convert to fraction form
    79.74/118.91 = 71.84/x
  3. Step 3: Cross multiply
    79.74x = 118.91 × 71.84
  4. Step 4: Simplify right side
    79.74x = 8,542.49
  5. Step 5: Solve for x
    x = 8,542.49/79.74
  6. Step 6: Final answer
    x = 107.13

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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.