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Finding the Fourth Proportional to 83,982.80, 115,891.89 and 52,151.02

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Solution

The fourth proportional to 83,982.80, 115,891.89 and 52,151.02 is: 71,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982.80 : 115,891.89 = 52,151.02 : x
  2. Step 2: Convert to fraction form
    83,982.80/115,891.89 = 52,151.02/x
  3. Step 3: Cross multiply
    83,982.80x = 115,891.89 × 52,151.02
  4. Step 4: Simplify right side
    83,982.80x = 6,043,880,273.23
  5. Step 5: Solve for x
    x = 6,043,880,273.23/83,982.80
  6. Step 6: Final answer
    x = 71,965.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.