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Finding the Fourth Proportional to 200,085.09, 300,016.83 and 81,839.46

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Solution

The fourth proportional to 200,085.09, 300,016.83 and 81,839.46 is: 122,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085.09 : 300,016.83 = 81,839.46 : x
  2. Step 2: Convert to fraction form
    200,085.09/300,016.83 = 81,839.46/x
  3. Step 3: Cross multiply
    200,085.09x = 300,016.83 × 81,839.46
  4. Step 4: Simplify right side
    200,085.09x = 24,553,215,358.11
  5. Step 5: Solve for x
    x = 24,553,215,358.11/200,085.09
  6. Step 6: Final answer
    x = 122,713.87

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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.