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Finding the Fourth Proportional to 185,704.72, 256,272.94 and 100,819.96

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Solution

The fourth proportional to 185,704.72, 256,272.94 and 100,819.96 is: 139,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704.72 : 256,272.94 = 100,819.96 : x
  2. Step 2: Convert to fraction form
    185,704.72/256,272.94 = 100,819.96/x
  3. Step 3: Cross multiply
    185,704.72x = 256,272.94 × 100,819.96
  4. Step 4: Simplify right side
    185,704.72x = 25,837,427,559.88
  5. Step 5: Solve for x
    x = 25,837,427,559.88/185,704.72
  6. Step 6: Final answer
    x = 139,131.78

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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.