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Finding the Fourth Proportional to 179,928, 269,892 and 55,269

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Solution

The fourth proportional to 179,928, 269,892 and 55,269 is: 82,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,928 : 269,892 = 55,269 : x
  2. Step 2: Convert to fraction form
    179,928/269,892 = 55,269/x
  3. Step 3: Cross multiply
    179,928x = 269,892 × 55,269
  4. Step 4: Simplify right side
    179,928x = 14,916,660,948
  5. Step 5: Solve for x
    x = 14,916,660,948/179,928
  6. Step 6: Final answer
    x = 82,903.50

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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.