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Finding the Fourth Proportional to 200,137.23, 300,205.10 and 80,247.78

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Solution

The fourth proportional to 200,137.23, 300,205.10 and 80,247.78 is: 120,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,137.23 : 300,205.10 = 80,247.78 : x
  2. Step 2: Convert to fraction form
    200,137.23/300,205.10 = 80,247.78/x
  3. Step 3: Cross multiply
    200,137.23x = 300,205.10 × 80,247.78
  4. Step 4: Simplify right side
    200,137.23x = 24,090,793,020.30
  5. Step 5: Solve for x
    x = 24,090,793,020.30/200,137.23
  6. Step 6: Final answer
    x = 120,371.37

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1.5x scale

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.