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Finding the Fourth Proportional to 45,857.54, 68,786.42 and 12,578.09

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Solution

The fourth proportional to 45,857.54, 68,786.42 and 12,578.09 is: 18,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,857.54 : 68,786.42 = 12,578.09 : x
  2. Step 2: Convert to fraction form
    45,857.54/68,786.42 = 12,578.09/x
  3. Step 3: Cross multiply
    45,857.54x = 68,786.42 × 12,578.09
  4. Step 4: Simplify right side
    45,857.54x = 865,201,374.72
  5. Step 5: Solve for x
    x = 865,201,374.72/45,857.54
  6. Step 6: Final answer
    x = 18,867.16

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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.