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Finding the Fourth Proportional to 83,910.53, 125,866.13 and 33,991.58

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Solution

The fourth proportional to 83,910.53, 125,866.13 and 33,991.58 is: 50,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,910.53 : 125,866.13 = 33,991.58 : x
  2. Step 2: Convert to fraction form
    83,910.53/125,866.13 = 33,991.58/x
  3. Step 3: Cross multiply
    83,910.53x = 125,866.13 × 33,991.58
  4. Step 4: Simplify right side
    83,910.53x = 4,278,388,627.19
  5. Step 5: Solve for x
    x = 4,278,388,627.19/83,910.53
  6. Step 6: Final answer
    x = 50,987.51

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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.