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Finding the Fourth Proportional to 198,540.80, 297,811.20 and 139,443.20

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Solution

The fourth proportional to 198,540.80, 297,811.20 and 139,443.20 is: 209,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,540.80 : 297,811.20 = 139,443.20 : x
  2. Step 2: Convert to fraction form
    198,540.80/297,811.20 = 139,443.20/x
  3. Step 3: Cross multiply
    198,540.80x = 297,811.20 × 139,443.20
  4. Step 4: Simplify right side
    198,540.80x = 41,527,746,723.84
  5. Step 5: Solve for x
    x = 41,527,746,723.84/198,540.80
  6. Step 6: Final answer
    x = 209,164.80

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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.