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Finding the Fourth Proportional to 79.26, 118.34 and 71.70

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Solution

The fourth proportional to 79.26, 118.34 and 71.70 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.26 : 118.34 = 71.70 : x
  2. Step 2: Convert to fraction form
    79.26/118.34 = 71.70/x
  3. Step 3: Cross multiply
    79.26x = 118.34 × 71.70
  4. Step 4: Simplify right side
    79.26x = 8,484.62
  5. Step 5: Solve for x
    x = 8,484.62/79.26
  6. Step 6: Final answer
    x = 107.05

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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.