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Finding the Fourth Proportional to 132,181.92, 182,414.15 and 78,467.15

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Solution

The fourth proportional to 132,181.92, 182,414.15 and 78,467.15 is: 108,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,181.92 : 182,414.15 = 78,467.15 : x
  2. Step 2: Convert to fraction form
    132,181.92/182,414.15 = 78,467.15/x
  3. Step 3: Cross multiply
    132,181.92x = 182,414.15 × 78,467.15
  4. Step 4: Simplify right side
    132,181.92x = 14,313,517,165.77
  5. Step 5: Solve for x
    x = 14,313,517,165.77/132,181.92
  6. Step 6: Final answer
    x = 108,286.50

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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.