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Finding the Fourth Proportional to 171,375.92, 257,170.32 and 82,638.56

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Solution

The fourth proportional to 171,375.92, 257,170.32 and 82,638.56 is: 124,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,375.92 : 257,170.32 = 82,638.56 : x
  2. Step 2: Convert to fraction form
    171,375.92/257,170.32 = 82,638.56/x
  3. Step 3: Cross multiply
    171,375.92x = 257,170.32 × 82,638.56
  4. Step 4: Simplify right side
    171,375.92x = 21,252,184,919.54
  5. Step 5: Solve for x
    x = 21,252,184,919.54/171,375.92
  6. Step 6: Final answer
    x = 124,009.17

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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.