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Finding the Fourth Proportional to 200,098.20, 300,074.40 and 66,982.80

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Solution

The fourth proportional to 200,098.20, 300,074.40 and 66,982.80 is: 100,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,098.20 : 300,074.40 = 66,982.80 : x
  2. Step 2: Convert to fraction form
    200,098.20/300,074.40 = 66,982.80/x
  3. Step 3: Cross multiply
    200,098.20x = 300,074.40 × 66,982.80
  4. Step 4: Simplify right side
    200,098.20x = 20,099,823,520.32
  5. Step 5: Solve for x
    x = 20,099,823,520.32/200,098.20
  6. Step 6: Final answer
    x = 100,449.80

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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.