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Finding the Fourth Proportional to 199,912.29, 299,884.21 and 66,793.01

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Solution

The fourth proportional to 199,912.29, 299,884.21 and 66,793.01 is: 100,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,912.29 : 299,884.21 = 66,793.01 : x
  2. Step 2: Convert to fraction form
    199,912.29/299,884.21 = 66,793.01/x
  3. Step 3: Cross multiply
    199,912.29x = 299,884.21 × 66,793.01
  4. Step 4: Simplify right side
    199,912.29x = 20,030,167,370.97
  5. Step 5: Solve for x
    x = 20,030,167,370.97/199,912.29
  6. Step 6: Final answer
    x = 100,194.78

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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.