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Finding the Fourth Proportional to 198,194.83, 297,337.67 and 85,893.90

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Solution

The fourth proportional to 198,194.83, 297,337.67 and 85,893.90 is: 128,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,194.83 : 297,337.67 = 85,893.90 : x
  2. Step 2: Convert to fraction form
    198,194.83/297,337.67 = 85,893.90/x
  3. Step 3: Cross multiply
    198,194.83x = 297,337.67 × 85,893.90
  4. Step 4: Simplify right side
    198,194.83x = 25,539,492,093.21
  5. Step 5: Solve for x
    x = 25,539,492,093.21/198,194.83
  6. Step 6: Final answer
    x = 128,860.54

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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.