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Finding the Fourth Proportional to 198,296, 297,413.76 and 79,936.64

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Solution

The fourth proportional to 198,296, 297,413.76 and 79,936.64 is: 119,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,296 : 297,413.76 = 79,936.64 : x
  2. Step 2: Convert to fraction form
    198,296/297,413.76 = 79,936.64/x
  3. Step 3: Cross multiply
    198,296x = 297,413.76 × 79,936.64
  4. Step 4: Simplify right side
    198,296x = 23,774,256,664.17
  5. Step 5: Solve for x
    x = 23,774,256,664.17/198,296
  6. Step 6: Final answer
    x = 119,892.77

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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.