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Finding the Fourth Proportional to 171,081, 256,616.19 and 71,238.68

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Solution

The fourth proportional to 171,081, 256,616.19 and 71,238.68 is: 106,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,081 : 256,616.19 = 71,238.68 : x
  2. Step 2: Convert to fraction form
    171,081/256,616.19 = 71,238.68/x
  3. Step 3: Cross multiply
    171,081x = 256,616.19 × 71,238.68
  4. Step 4: Simplify right side
    171,081x = 18,280,998,286.04
  5. Step 5: Solve for x
    x = 18,280,998,286.04/171,081
  6. Step 6: Final answer
    x = 106,855.81

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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.