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Finding the Fourth Proportional to 79.92, 119.60 and 72.48

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Solution

The fourth proportional to 79.92, 119.60 and 72.48 is: 108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 119.60 = 72.48 : x
  2. Step 2: Convert to fraction form
    79.92/119.60 = 72.48/x
  3. Step 3: Cross multiply
    79.92x = 119.60 × 72.48
  4. Step 4: Simplify right side
    79.92x = 8,668.61
  5. Step 5: Solve for x
    x = 8,668.61/79.92
  6. Step 6: Final answer
    x = 108.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.