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Finding the Fourth Proportional to 68,221.86, 102,343.74 and 28,784.78

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Solution

The fourth proportional to 68,221.86, 102,343.74 and 28,784.78 is: 43,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,221.86 : 102,343.74 = 28,784.78 : x
  2. Step 2: Convert to fraction form
    68,221.86/102,343.74 = 28,784.78/x
  3. Step 3: Cross multiply
    68,221.86x = 102,343.74 × 28,784.78
  4. Step 4: Simplify right side
    68,221.86x = 2,945,942,380.09
  5. Step 5: Solve for x
    x = 2,945,942,380.09/68,221.86
  6. Step 6: Final answer
    x = 43,181.79

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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.