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Finding the Fourth Proportional to 200,768.70, 300,897.90 and 82,306.20

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Solution

The fourth proportional to 200,768.70, 300,897.90 and 82,306.20 is: 123,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.70 : 300,897.90 = 82,306.20 : x
  2. Step 2: Convert to fraction form
    200,768.70/300,897.90 = 82,306.20/x
  3. Step 3: Cross multiply
    200,768.70x = 300,897.90 × 82,306.20
  4. Step 4: Simplify right side
    200,768.70x = 24,765,762,736.98
  5. Step 5: Solve for x
    x = 24,765,762,736.98/200,768.70
  6. Step 6: Final answer
    x = 123,354.70

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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.