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Finding the Fourth Proportional to 171,015.44, 256,578.48 and 82,257.35

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Solution

The fourth proportional to 171,015.44, 256,578.48 and 82,257.35 is: 123,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,015.44 : 256,578.48 = 82,257.35 : x
  2. Step 2: Convert to fraction form
    171,015.44/256,578.48 = 82,257.35/x
  3. Step 3: Cross multiply
    171,015.44x = 256,578.48 × 82,257.35
  4. Step 4: Simplify right side
    171,015.44x = 21,105,464,548.94
  5. Step 5: Solve for x
    x = 21,105,464,548.94/171,015.44
  6. Step 6: Final answer
    x = 123,412.63

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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.