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Finding the Fourth Proportional to 199,971.87, 299,958.09 and 80,082.81

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Solution

The fourth proportional to 199,971.87, 299,958.09 and 80,082.81 is: 120,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971.87 : 299,958.09 = 80,082.81 : x
  2. Step 2: Convert to fraction form
    199,971.87/299,958.09 = 80,082.81/x
  3. Step 3: Cross multiply
    199,971.87x = 299,958.09 × 80,082.81
  4. Step 4: Simplify right side
    199,971.87x = 24,021,486,729.43
  5. Step 5: Solve for x
    x = 24,021,486,729.43/199,971.87
  6. Step 6: Final answer
    x = 120,124.33

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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.