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Finding the Fourth Proportional to 198,185.67, 297,323.92 and 85,884.74

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Solution

The fourth proportional to 198,185.67, 297,323.92 and 85,884.74 is: 128,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,185.67 : 297,323.92 = 85,884.74 : x
  2. Step 2: Convert to fraction form
    198,185.67/297,323.92 = 85,884.74/x
  3. Step 3: Cross multiply
    198,185.67x = 297,323.92 × 85,884.74
  4. Step 4: Simplify right side
    198,185.67x = 25,535,587,564.98
  5. Step 5: Solve for x
    x = 25,535,587,564.98/198,185.67
  6. Step 6: Final answer
    x = 128,846.79

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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.