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Finding the Fourth Proportional to 198,538.67, 297,863.59 and 80,293.05

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Solution

The fourth proportional to 198,538.67, 297,863.59 and 80,293.05 is: 120,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,538.67 : 297,863.59 = 80,293.05 : x
  2. Step 2: Convert to fraction form
    198,538.67/297,863.59 = 80,293.05/x
  3. Step 3: Cross multiply
    198,538.67x = 297,863.59 × 80,293.05
  4. Step 4: Simplify right side
    198,538.67x = 23,916,374,435.00
  5. Step 5: Solve for x
    x = 23,916,374,435.00/198,538.67
  6. Step 6: Final answer
    x = 120,462.05

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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.