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Finding the Fourth Proportional to 198,996.50, 298,497.05 and 85,128.82

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Solution

The fourth proportional to 198,996.50, 298,497.05 and 85,128.82 is: 127,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,996.50 : 298,497.05 = 85,128.82 : x
  2. Step 2: Convert to fraction form
    198,996.50/298,497.05 = 85,128.82/x
  3. Step 3: Cross multiply
    198,996.50x = 298,497.05 × 85,128.82
  4. Step 4: Simplify right side
    198,996.50x = 25,410,701,639.98
  5. Step 5: Solve for x
    x = 25,410,701,639.98/198,996.50
  6. Step 6: Final answer
    x = 127,694.21

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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.