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Finding the Fourth Proportional to 83,359.87, 115,090.29 and 74,391.97

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Solution

The fourth proportional to 83,359.87, 115,090.29 and 74,391.97 is: 102,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,359.87 : 115,090.29 = 74,391.97 : x
  2. Step 2: Convert to fraction form
    83,359.87/115,090.29 = 74,391.97/x
  3. Step 3: Cross multiply
    83,359.87x = 115,090.29 × 74,391.97
  4. Step 4: Simplify right side
    83,359.87x = 8,561,793,400.97
  5. Step 5: Solve for x
    x = 8,561,793,400.97/83,359.87
  6. Step 6: Final answer
    x = 102,708.81

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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.