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Finding the Fourth Proportional to 198,715.43, 298,009.92 and 65,570.87

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Solution

The fourth proportional to 198,715.43, 298,009.92 and 65,570.87 is: 98,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,715.43 : 298,009.92 = 65,570.87 : x
  2. Step 2: Convert to fraction form
    198,715.43/298,009.92 = 65,570.87/x
  3. Step 3: Cross multiply
    198,715.43x = 298,009.92 × 65,570.87
  4. Step 4: Simplify right side
    198,715.43x = 19,540,769,723.03
  5. Step 5: Solve for x
    x = 19,540,769,723.03/198,715.43
  6. Step 6: Final answer
    x = 98,335.44

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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.