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Finding the Fourth Proportional to 171,694.30, 257,650.80 and 100,616.80

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Solution

The fourth proportional to 171,694.30, 257,650.80 and 100,616.80 is: 150,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.30 : 257,650.80 = 100,616.80 : x
  2. Step 2: Convert to fraction form
    171,694.30/257,650.80 = 100,616.80/x
  3. Step 3: Cross multiply
    171,694.30x = 257,650.80 × 100,616.80
  4. Step 4: Simplify right side
    171,694.30x = 25,923,999,013.44
  5. Step 5: Solve for x
    x = 25,923,999,013.44/171,694.30
  6. Step 6: Final answer
    x = 150,989.28

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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.