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Finding the Fourth Proportional to 199,405.72, 299,165.10 and 81,161.92

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Solution

The fourth proportional to 199,405.72, 299,165.10 and 81,161.92 is: 121,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.72 : 299,165.10 = 81,161.92 : x
  2. Step 2: Convert to fraction form
    199,405.72/299,165.10 = 81,161.92/x
  3. Step 3: Cross multiply
    199,405.72x = 299,165.10 × 81,161.92
  4. Step 4: Simplify right side
    199,405.72x = 24,280,813,912.99
  5. Step 5: Solve for x
    x = 24,280,813,912.99/199,405.72
  6. Step 6: Final answer
    x = 121,765.88

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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.