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Finding the Fourth Proportional to 83,324.56, 115,041.56 and 74,356.64

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Solution

The fourth proportional to 83,324.56, 115,041.56 and 74,356.64 is: 102,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324.56 : 115,041.56 = 74,356.64 : x
  2. Step 2: Convert to fraction form
    83,324.56/115,041.56 = 74,356.64/x
  3. Step 3: Cross multiply
    83,324.56x = 115,041.56 × 74,356.64
  4. Step 4: Simplify right side
    83,324.56x = 8,554,103,861.96
  5. Step 5: Solve for x
    x = 8,554,103,861.96/83,324.56
  6. Step 6: Final answer
    x = 102,660.05

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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.