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Finding the Fourth Proportional to 198,169.67, 297,285.50 and 65,019.65

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Solution

The fourth proportional to 198,169.67, 297,285.50 and 65,019.65 is: 97,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,169.67 : 297,285.50 = 65,019.65 : x
  2. Step 2: Convert to fraction form
    198,169.67/297,285.50 = 65,019.65/x
  3. Step 3: Cross multiply
    198,169.67x = 297,285.50 × 65,019.65
  4. Step 4: Simplify right side
    198,169.67x = 19,329,397,348.55
  5. Step 5: Solve for x
    x = 19,329,397,348.55/198,169.67
  6. Step 6: Final answer
    x = 97,539.64

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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.