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Finding the Fourth Proportional to 57,289.87, 85,939.39 and 21,768.20

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Solution

The fourth proportional to 57,289.87, 85,939.39 and 21,768.20 is: 32,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,289.87 : 85,939.39 = 21,768.20 : x
  2. Step 2: Convert to fraction form
    57,289.87/85,939.39 = 21,768.20/x
  3. Step 3: Cross multiply
    57,289.87x = 85,939.39 × 21,768.20
  4. Step 4: Simplify right side
    57,289.87x = 1,870,745,749.18
  5. Step 5: Solve for x
    x = 1,870,745,749.18/57,289.87
  6. Step 6: Final answer
    x = 32,654.04

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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.