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Finding the Fourth Proportional to 86,876, 119,889 and 49,149.44

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Solution

The fourth proportional to 86,876, 119,889 and 49,149.44 is: 67,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,876 : 119,889 = 49,149.44 : x
  2. Step 2: Convert to fraction form
    86,876/119,889 = 49,149.44/x
  3. Step 3: Cross multiply
    86,876x = 119,889 × 49,149.44
  4. Step 4: Simplify right side
    86,876x = 5,892,477,212.16
  5. Step 5: Solve for x
    x = 5,892,477,212.16/86,876
  6. Step 6: Final answer
    x = 67,826.30

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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.