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Finding the Fourth Proportional to 200,549.98, 300,818.79 and 82,132.13

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Solution

The fourth proportional to 200,549.98, 300,818.79 and 82,132.13 is: 123,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,549.98 : 300,818.79 = 82,132.13 : x
  2. Step 2: Convert to fraction form
    200,549.98/300,818.79 = 82,132.13/x
  3. Step 3: Cross multiply
    200,549.98x = 300,818.79 × 82,132.13
  4. Step 4: Simplify right side
    200,549.98x = 24,706,886,795.67
  5. Step 5: Solve for x
    x = 24,706,886,795.67/200,549.98
  6. Step 6: Final answer
    x = 123,195.66

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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.