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Finding the Fourth Proportional to 171,909.22, 257,964.23 and 72,061.74

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Solution

The fourth proportional to 171,909.22, 257,964.23 and 72,061.74 is: 108,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.22 : 257,964.23 = 72,061.74 : x
  2. Step 2: Convert to fraction form
    171,909.22/257,964.23 = 72,061.74/x
  3. Step 3: Cross multiply
    171,909.22x = 257,964.23 × 72,061.74
  4. Step 4: Simplify right side
    171,909.22x = 18,589,351,271.56
  5. Step 5: Solve for x
    x = 18,589,351,271.56/171,909.22
  6. Step 6: Final answer
    x = 108,134.70

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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.