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Finding the Fourth Proportional to 83,327.87, 115,046.12 and 74,359.96

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Solution

The fourth proportional to 83,327.87, 115,046.12 and 74,359.96 is: 102,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,327.87 : 115,046.12 = 74,359.96 : x
  2. Step 2: Convert to fraction form
    83,327.87/115,046.12 = 74,359.96/x
  3. Step 3: Cross multiply
    83,327.87x = 115,046.12 × 74,359.96
  4. Step 4: Simplify right side
    83,327.87x = 8,554,824,881.36
  5. Step 5: Solve for x
    x = 8,554,824,881.36/83,327.87
  6. Step 6: Final answer
    x = 102,664.63

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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.