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Finding the Fourth Proportional to 171,910.30, 257,974.80 and 100,832.80

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Solution

The fourth proportional to 171,910.30, 257,974.80 and 100,832.80 is: 151,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,910.30 : 257,974.80 = 100,832.80 : x
  2. Step 2: Convert to fraction form
    171,910.30/257,974.80 = 100,832.80/x
  3. Step 3: Cross multiply
    171,910.30x = 257,974.80 × 100,832.80
  4. Step 4: Simplify right side
    171,910.30x = 26,012,321,413.44
  5. Step 5: Solve for x
    x = 26,012,321,413.44/171,910.30
  6. Step 6: Final answer
    x = 151,313.34

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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.