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Finding the Fourth Proportional to 198,998, 274,850.52 and 131,813.36

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Solution

The fourth proportional to 198,998, 274,850.52 and 131,813.36 is: 182,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998 : 274,850.52 = 131,813.36 : x
  2. Step 2: Convert to fraction form
    198,998/274,850.52 = 131,813.36/x
  3. Step 3: Cross multiply
    198,998x = 274,850.52 × 131,813.36
  4. Step 4: Simplify right side
    198,998x = 36,228,970,538.95
  5. Step 5: Solve for x
    x = 36,228,970,538.95/198,998
  6. Step 6: Final answer
    x = 182,056.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.