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Finding the Fourth Proportional to 171,692.30, 257,647.80 and 100,614.80

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Solution

The fourth proportional to 171,692.30, 257,647.80 and 100,614.80 is: 150,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,692.30 : 257,647.80 = 100,614.80 : x
  2. Step 2: Convert to fraction form
    171,692.30/257,647.80 = 100,614.80/x
  3. Step 3: Cross multiply
    171,692.30x = 257,647.80 × 100,614.80
  4. Step 4: Simplify right side
    171,692.30x = 25,923,181,867.44
  5. Step 5: Solve for x
    x = 25,923,181,867.44/171,692.30
  6. Step 6: Final answer
    x = 150,986.28

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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.