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Finding the Fourth Proportional to 198,074.70, 297,002.70 and 85,735.80

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Solution

The fourth proportional to 198,074.70, 297,002.70 and 85,735.80 is: 128,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074.70 : 297,002.70 = 85,735.80 : x
  2. Step 2: Convert to fraction form
    198,074.70/297,002.70 = 85,735.80/x
  3. Step 3: Cross multiply
    198,074.70x = 297,002.70 × 85,735.80
  4. Step 4: Simplify right side
    198,074.70x = 25,463,764,086.66
  5. Step 5: Solve for x
    x = 25,463,764,086.66/198,074.70
  6. Step 6: Final answer
    x = 128,556.37

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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.