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Finding the Fourth Proportional to 81.09, 121.62 and 32.33

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Solution

The fourth proportional to 81.09, 121.62 and 32.33 is: 48.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.09 : 121.62 = 32.33 : x
  2. Step 2: Convert to fraction form
    81.09/121.62 = 32.33/x
  3. Step 3: Cross multiply
    81.09x = 121.62 × 32.33
  4. Step 4: Simplify right side
    81.09x = 3,932.40
  5. Step 5: Solve for x
    x = 3,932.40/81.09
  6. Step 6: Final answer
    x = 48.49

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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.