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Finding the Fourth Proportional to 57,382.92, 86,022.54 and 20,438.28

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Solution

The fourth proportional to 57,382.92, 86,022.54 and 20,438.28 is: 30,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382.92 : 86,022.54 = 20,438.28 : x
  2. Step 2: Convert to fraction form
    57,382.92/86,022.54 = 20,438.28/x
  3. Step 3: Cross multiply
    57,382.92x = 86,022.54 × 20,438.28
  4. Step 4: Simplify right side
    57,382.92x = 1,758,152,758.83
  5. Step 5: Solve for x
    x = 1,758,152,758.83/57,382.92
  6. Step 6: Final answer
    x = 30,638.96

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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.