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Finding the Fourth Proportional to 179,930, 269,895 and 55,271

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Solution

The fourth proportional to 179,930, 269,895 and 55,271 is: 82,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,930 : 269,895 = 55,271 : x
  2. Step 2: Convert to fraction form
    179,930/269,895 = 55,271/x
  3. Step 3: Cross multiply
    179,930x = 269,895 × 55,271
  4. Step 4: Simplify right side
    179,930x = 14,917,366,545
  5. Step 5: Solve for x
    x = 14,917,366,545/179,930
  6. Step 6: Final answer
    x = 82,906.50

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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.