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Finding the Fourth Proportional to 83,419.20, 125,139.60 and 41,320.80

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Solution

The fourth proportional to 83,419.20, 125,139.60 and 41,320.80 is: 61,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419.20 : 125,139.60 = 41,320.80 : x
  2. Step 2: Convert to fraction form
    83,419.20/125,139.60 = 41,320.80/x
  3. Step 3: Cross multiply
    83,419.20x = 125,139.60 × 41,320.80
  4. Step 4: Simplify right side
    83,419.20x = 5,170,868,383.68
  5. Step 5: Solve for x
    x = 5,170,868,383.68/83,419.20
  6. Step 6: Final answer
    x = 61,986.55

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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.