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Finding the Fourth Proportional to 165,906, 248,859 and 55,098

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Solution

The fourth proportional to 165,906, 248,859 and 55,098 is: 82,647

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,906 : 248,859 = 55,098 : x
  2. Step 2: Convert to fraction form
    165,906/248,859 = 55,098/x
  3. Step 3: Cross multiply
    165,906x = 248,859 × 55,098
  4. Step 4: Simplify right side
    165,906x = 13,711,633,182
  5. Step 5: Solve for x
    x = 13,711,633,182/165,906
  6. Step 6: Final answer
    x = 82,647

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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.