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Finding the Fourth Proportional to 200,082.72, 299,847.06 and 100,115.76

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Solution

The fourth proportional to 200,082.72, 299,847.06 and 100,115.76 is: 150,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.72 : 299,847.06 = 100,115.76 : x
  2. Step 2: Convert to fraction form
    200,082.72/299,847.06 = 100,115.76/x
  3. Step 3: Cross multiply
    200,082.72x = 299,847.06 × 100,115.76
  4. Step 4: Simplify right side
    200,082.72x = 30,019,416,295.67
  5. Step 5: Solve for x
    x = 30,019,416,295.67/200,082.72
  6. Step 6: Final answer
    x = 150,035.03

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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.