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Finding the Fourth Proportional to 57,453.63, 86,180.88 and 20,013.64

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Solution

The fourth proportional to 57,453.63, 86,180.88 and 20,013.64 is: 30,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453.63 : 86,180.88 = 20,013.64 : x
  2. Step 2: Convert to fraction form
    57,453.63/86,180.88 = 20,013.64/x
  3. Step 3: Cross multiply
    57,453.63x = 86,180.88 × 20,013.64
  4. Step 4: Simplify right side
    57,453.63x = 1,724,793,107.20
  5. Step 5: Solve for x
    x = 1,724,793,107.20/57,453.63
  6. Step 6: Final answer
    x = 30,020.61

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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.