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Finding the Fourth Proportional to 81,213.97, 121,739.18 and 33,855.29

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Solution

The fourth proportional to 81,213.97, 121,739.18 and 33,855.29 is: 50,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,213.97 : 121,739.18 = 33,855.29 : x
  2. Step 2: Convert to fraction form
    81,213.97/121,739.18 = 33,855.29/x
  3. Step 3: Cross multiply
    81,213.97x = 121,739.18 × 33,855.29
  4. Step 4: Simplify right side
    81,213.97x = 4,121,514,634.57
  5. Step 5: Solve for x
    x = 4,121,514,634.57/81,213.97
  6. Step 6: Final answer
    x = 50,748.84

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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.