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Finding the Fourth Proportional to 178,938, 268,408.62 and 54,279

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Solution

The fourth proportional to 178,938, 268,408.62 and 54,279 is: 81,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,938 : 268,408.62 = 54,279 : x
  2. Step 2: Convert to fraction form
    178,938/268,408.62 = 54,279/x
  3. Step 3: Cross multiply
    178,938x = 268,408.62 × 54,279
  4. Step 4: Simplify right side
    178,938x = 14,568,951,484.98
  5. Step 5: Solve for x
    x = 14,568,951,484.98/178,938
  6. Step 6: Final answer
    x = 81,418.99

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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.