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Finding the Fourth Proportional to 171,909.72, 257,964.98 and 72,062.24

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Solution

The fourth proportional to 171,909.72, 257,964.98 and 72,062.24 is: 108,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.72 : 257,964.98 = 72,062.24 : x
  2. Step 2: Convert to fraction form
    171,909.72/257,964.98 = 72,062.24/x
  3. Step 3: Cross multiply
    171,909.72x = 257,964.98 × 72,062.24
  4. Step 4: Simplify right side
    171,909.72x = 18,589,532,650.22
  5. Step 5: Solve for x
    x = 18,589,532,650.22/171,909.72
  6. Step 6: Final answer
    x = 108,135.44

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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.