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Finding the Fourth Proportional to 198,115.10, 297,217.98 and 85,814.01

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Solution

The fourth proportional to 198,115.10, 297,217.98 and 85,814.01 is: 128,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,115.10 : 297,217.98 = 85,814.01 : x
  2. Step 2: Convert to fraction form
    198,115.10/297,217.98 = 85,814.01/x
  3. Step 3: Cross multiply
    198,115.10x = 297,217.98 × 85,814.01
  4. Step 4: Simplify right side
    198,115.10x = 25,505,466,707.90
  5. Step 5: Solve for x
    x = 25,505,466,707.90/198,115.10
  6. Step 6: Final answer
    x = 128,740.65

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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.