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Finding the Fourth Proportional to 198,590.34, 298,097.73 and 80,338.98

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Solution

The fourth proportional to 198,590.34, 298,097.73 and 80,338.98 is: 120,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590.34 : 298,097.73 = 80,338.98 : x
  2. Step 2: Convert to fraction form
    198,590.34/298,097.73 = 80,338.98/x
  3. Step 3: Cross multiply
    198,590.34x = 298,097.73 × 80,338.98
  4. Step 4: Simplify right side
    198,590.34x = 23,948,867,568.52
  5. Step 5: Solve for x
    x = 23,948,867,568.52/198,590.34
  6. Step 6: Final answer
    x = 120,594.32

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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.