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Finding the Fourth Proportional to 135,879.50, 203,597.28 and 82,587.78

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Solution

The fourth proportional to 135,879.50, 203,597.28 and 82,587.78 is: 123,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,879.50 : 203,597.28 = 82,587.78 : x
  2. Step 2: Convert to fraction form
    135,879.50/203,597.28 = 82,587.78/x
  3. Step 3: Cross multiply
    135,879.50x = 203,597.28 × 82,587.78
  4. Step 4: Simplify right side
    135,879.50x = 16,814,647,369.24
  5. Step 5: Solve for x
    x = 16,814,647,369.24/135,879.50
  6. Step 6: Final answer
    x = 123,746.76

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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.