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Finding the Fourth Proportional to 57,879.82, 86,806.54 and 27,878.73

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Solution

The fourth proportional to 57,879.82, 86,806.54 and 27,878.73 is: 41,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,879.82 : 86,806.54 = 27,878.73 : x
  2. Step 2: Convert to fraction form
    57,879.82/86,806.54 = 27,878.73/x
  3. Step 3: Cross multiply
    57,879.82x = 86,806.54 × 27,878.73
  4. Step 4: Simplify right side
    57,879.82x = 2,420,056,090.89
  5. Step 5: Solve for x
    x = 2,420,056,090.89/57,879.82
  6. Step 6: Final answer
    x = 41,811.74

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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.