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Finding the Fourth Proportional to 57,107.48, 85,699.98 and 20,171.48

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Solution

The fourth proportional to 57,107.48, 85,699.98 and 20,171.48 is: 30,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.48 : 85,699.98 = 20,171.48 : x
  2. Step 2: Convert to fraction form
    57,107.48/85,699.98 = 20,171.48/x
  3. Step 3: Cross multiply
    57,107.48x = 85,699.98 × 20,171.48
  4. Step 4: Simplify right side
    57,107.48x = 1,728,695,432.57
  5. Step 5: Solve for x
    x = 1,728,695,432.57/57,107.48
  6. Step 6: Final answer
    x = 30,270.91

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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.