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Finding the Fourth Proportional to 81.20, 121.59 and 48.62

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Solution

The fourth proportional to 81.20, 121.59 and 48.62 is: 72.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.20 : 121.59 = 48.62 : x
  2. Step 2: Convert to fraction form
    81.20/121.59 = 48.62/x
  3. Step 3: Cross multiply
    81.20x = 121.59 × 48.62
  4. Step 4: Simplify right side
    81.20x = 5,911.10
  5. Step 5: Solve for x
    x = 5,911.10/81.20
  6. Step 6: Final answer
    x = 72.80

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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.