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Finding the Fourth Proportional to 178,997.36, 268,502.04 and 54,338

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Solution

The fourth proportional to 178,997.36, 268,502.04 and 54,338 is: 81,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,997.36 : 268,502.04 = 54,338 : x
  2. Step 2: Convert to fraction form
    178,997.36/268,502.04 = 54,338/x
  3. Step 3: Cross multiply
    178,997.36x = 268,502.04 × 54,338
  4. Step 4: Simplify right side
    178,997.36x = 14,589,863,849.52
  5. Step 5: Solve for x
    x = 14,589,863,849.52/178,997.36
  6. Step 6: Final answer
    x = 81,508.82

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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.