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Finding the Fourth Proportional to 198,059.40, 297,352.78 and 115,013

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Solution

The fourth proportional to 198,059.40, 297,352.78 and 115,013 is: 172,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,059.40 : 297,352.78 = 115,013 : x
  2. Step 2: Convert to fraction form
    198,059.40/297,352.78 = 115,013/x
  3. Step 3: Cross multiply
    198,059.40x = 297,352.78 × 115,013
  4. Step 4: Simplify right side
    198,059.40x = 34,199,435,286.14
  5. Step 5: Solve for x
    x = 34,199,435,286.14/198,059.40
  6. Step 6: Final answer
    x = 172,672.62

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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.