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Finding the Fourth Proportional to 198,720.43, 298,017.42 and 65,575.87

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Solution

The fourth proportional to 198,720.43, 298,017.42 and 65,575.87 is: 98,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720.43 : 298,017.42 = 65,575.87 : x
  2. Step 2: Convert to fraction form
    198,720.43/298,017.42 = 65,575.87/x
  3. Step 3: Cross multiply
    198,720.43x = 298,017.42 × 65,575.87
  4. Step 4: Simplify right side
    198,720.43x = 19,542,751,591.66
  5. Step 5: Solve for x
    x = 19,542,751,591.66/198,720.43
  6. Step 6: Final answer
    x = 98,342.94

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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.