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Finding the Fourth Proportional to 198,355.75, 297,583.97 and 91,816.56

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Solution

The fourth proportional to 198,355.75, 297,583.97 and 91,816.56 is: 137,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,355.75 : 297,583.97 = 91,816.56 : x
  2. Step 2: Convert to fraction form
    198,355.75/297,583.97 = 91,816.56/x
  3. Step 3: Cross multiply
    198,355.75x = 297,583.97 × 91,816.56
  4. Step 4: Simplify right side
    198,355.75x = 27,323,136,436.54
  5. Step 5: Solve for x
    x = 27,323,136,436.54/198,355.75
  6. Step 6: Final answer
    x = 137,748.14

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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.