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Finding the Fourth Proportional to 200,499.12, 300,749.09 and 82,149.21

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Solution

The fourth proportional to 200,499.12, 300,749.09 and 82,149.21 is: 123,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,499.12 : 300,749.09 = 82,149.21 : x
  2. Step 2: Convert to fraction form
    200,499.12/300,749.09 = 82,149.21/x
  3. Step 3: Cross multiply
    200,499.12x = 300,749.09 × 82,149.21
  4. Step 4: Simplify right side
    200,499.12x = 24,706,299,740.97
  5. Step 5: Solve for x
    x = 24,706,299,740.97/200,499.12
  6. Step 6: Final answer
    x = 123,223.98

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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.