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Finding the Fourth Proportional to 200,039.12, 299,902.92 and 100,147.84

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Solution

The fourth proportional to 200,039.12, 299,902.92 and 100,147.84 is: 150,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,039.12 : 299,902.92 = 100,147.84 : x
  2. Step 2: Convert to fraction form
    200,039.12/299,902.92 = 100,147.84/x
  3. Step 3: Cross multiply
    200,039.12x = 299,902.92 × 100,147.84
  4. Step 4: Simplify right side
    200,039.12x = 30,034,629,647.69
  5. Step 5: Solve for x
    x = 30,034,629,647.69/200,039.12
  6. Step 6: Final answer
    x = 150,143.78

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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.