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Finding the Fourth Proportional to 200,083.43, 300,125.12 and 81,754.65

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Solution

The fourth proportional to 200,083.43, 300,125.12 and 81,754.65 is: 122,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.43 : 300,125.12 = 81,754.65 : x
  2. Step 2: Convert to fraction form
    200,083.43/300,125.12 = 81,754.65/x
  3. Step 3: Cross multiply
    200,083.43x = 300,125.12 × 81,754.65
  4. Step 4: Simplify right side
    200,083.43x = 24,536,624,346.19
  5. Step 5: Solve for x
    x = 24,536,624,346.19/200,083.43
  6. Step 6: Final answer
    x = 122,631.96

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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.