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Finding the Fourth Proportional to 132,745.72, 199,112.76 and 42,786.44

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Solution

The fourth proportional to 132,745.72, 199,112.76 and 42,786.44 is: 64,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,745.72 : 199,112.76 = 42,786.44 : x
  2. Step 2: Convert to fraction form
    132,745.72/199,112.76 = 42,786.44/x
  3. Step 3: Cross multiply
    132,745.72x = 199,112.76 × 42,786.44
  4. Step 4: Simplify right side
    132,745.72x = 8,519,326,158.97
  5. Step 5: Solve for x
    x = 8,519,326,158.97/132,745.72
  6. Step 6: Final answer
    x = 64,177.78

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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.