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Finding the Fourth Proportional to 57,537.92, 86,286 and 20,087.48

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Solution

The fourth proportional to 57,537.92, 86,286 and 20,087.48 is: 30,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537.92 : 86,286 = 20,087.48 : x
  2. Step 2: Convert to fraction form
    57,537.92/86,286 = 20,087.48/x
  3. Step 3: Cross multiply
    57,537.92x = 86,286 × 20,087.48
  4. Step 4: Simplify right side
    57,537.92x = 1,733,268,299.28
  5. Step 5: Solve for x
    x = 1,733,268,299.28/57,537.92
  6. Step 6: Final answer
    x = 30,123.93

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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.