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Finding the Fourth Proportional to 172,906.83, 259,297.86 and 73,074.75

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Solution

The fourth proportional to 172,906.83, 259,297.86 and 73,074.75 is: 109,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,906.83 : 259,297.86 = 73,074.75 : x
  2. Step 2: Convert to fraction form
    172,906.83/259,297.86 = 73,074.75/x
  3. Step 3: Cross multiply
    172,906.83x = 259,297.86 × 73,074.75
  4. Step 4: Simplify right side
    172,906.83x = 18,948,126,295.04
  5. Step 5: Solve for x
    x = 18,948,126,295.04/172,906.83
  6. Step 6: Final answer
    x = 109,585.76

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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.