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Finding the Fourth Proportional to 200,729.90, 300,949.05 and 82,340.30

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Solution

The fourth proportional to 200,729.90, 300,949.05 and 82,340.30 is: 123,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.90 : 300,949.05 = 82,340.30 : x
  2. Step 2: Convert to fraction form
    200,729.90/300,949.05 = 82,340.30/x
  3. Step 3: Cross multiply
    200,729.90x = 300,949.05 × 82,340.30
  4. Step 4: Simplify right side
    200,729.90x = 24,780,235,061.72
  5. Step 5: Solve for x
    x = 24,780,235,061.72/200,729.90
  6. Step 6: Final answer
    x = 123,450.64

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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.