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Finding the Fourth Proportional to 200,180.70, 300,269.84 and 80,291.79

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Solution

The fourth proportional to 200,180.70, 300,269.84 and 80,291.79 is: 120,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,180.70 : 300,269.84 = 80,291.79 : x
  2. Step 2: Convert to fraction form
    200,180.70/300,269.84 = 80,291.79/x
  3. Step 3: Cross multiply
    200,180.70x = 300,269.84 × 80,291.79
  4. Step 4: Simplify right side
    200,180.70x = 24,109,202,535.15
  5. Step 5: Solve for x
    x = 24,109,202,535.15/200,180.70
  6. Step 6: Final answer
    x = 120,437.20

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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.