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Finding the Fourth Proportional to 138,896.78, 191,676.38 and 75,234.42

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Solution

The fourth proportional to 138,896.78, 191,676.38 and 75,234.42 is: 103,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896.78 : 191,676.38 = 75,234.42 : x
  2. Step 2: Convert to fraction form
    138,896.78/191,676.38 = 75,234.42/x
  3. Step 3: Cross multiply
    138,896.78x = 191,676.38 × 75,234.42
  4. Step 4: Simplify right side
    138,896.78x = 14,420,660,900.83
  5. Step 5: Solve for x
    x = 14,420,660,900.83/138,896.78
  6. Step 6: Final answer
    x = 103,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.