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Finding the Fourth Proportional to 86,093.66, 129,141.78 and 32,788.58

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Solution

The fourth proportional to 86,093.66, 129,141.78 and 32,788.58 is: 49,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,093.66 : 129,141.78 = 32,788.58 : x
  2. Step 2: Convert to fraction form
    86,093.66/129,141.78 = 32,788.58/x
  3. Step 3: Cross multiply
    86,093.66x = 129,141.78 × 32,788.58
  4. Step 4: Simplify right side
    86,093.66x = 4,234,375,584.87
  5. Step 5: Solve for x
    x = 4,234,375,584.87/86,093.66
  6. Step 6: Final answer
    x = 49,183.36

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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.