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Finding the Fourth Proportional to 200,704.70, 300,982.03 and 80,721.15

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Solution

The fourth proportional to 200,704.70, 300,982.03 and 80,721.15 is: 121,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,704.70 : 300,982.03 = 80,721.15 : x
  2. Step 2: Convert to fraction form
    200,704.70/300,982.03 = 80,721.15/x
  3. Step 3: Cross multiply
    200,704.70x = 300,982.03 × 80,721.15
  4. Step 4: Simplify right side
    200,704.70x = 24,295,615,590.93
  5. Step 5: Solve for x
    x = 24,295,615,590.93/200,704.70
  6. Step 6: Final answer
    x = 121,051.56

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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.