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Finding the Fourth Proportional to 198,190.61, 297,331.32 and 85,889.68

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Solution

The fourth proportional to 198,190.61, 297,331.32 and 85,889.68 is: 128,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,190.61 : 297,331.32 = 85,889.68 : x
  2. Step 2: Convert to fraction form
    198,190.61/297,331.32 = 85,889.68/x
  3. Step 3: Cross multiply
    198,190.61x = 297,331.32 × 85,889.68
  4. Step 4: Simplify right side
    198,190.61x = 25,537,691,507.54
  5. Step 5: Solve for x
    x = 25,537,691,507.54/198,190.61
  6. Step 6: Final answer
    x = 128,854.20

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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.