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Finding the Fourth Proportional to 198,200.85, 297,346.68 and 85,899.93

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Solution

The fourth proportional to 198,200.85, 297,346.68 and 85,899.93 is: 128,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,200.85 : 297,346.68 = 85,899.93 : x
  2. Step 2: Convert to fraction form
    198,200.85/297,346.68 = 85,899.93/x
  3. Step 3: Cross multiply
    198,200.85x = 297,346.68 × 85,899.93
  4. Step 4: Simplify right side
    198,200.85x = 25,542,058,997.73
  5. Step 5: Solve for x
    x = 25,542,058,997.73/198,200.85
  6. Step 6: Final answer
    x = 128,869.57

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1.5x scale

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.