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Finding the Fourth Proportional to 57,576.64, 86,390.09 and 20,163.57

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Solution

The fourth proportional to 57,576.64, 86,390.09 and 20,163.57 is: 30,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,576.64 : 86,390.09 = 20,163.57 : x
  2. Step 2: Convert to fraction form
    57,576.64/86,390.09 = 20,163.57/x
  3. Step 3: Cross multiply
    57,576.64x = 86,390.09 × 20,163.57
  4. Step 4: Simplify right side
    57,576.64x = 1,741,932,627.02
  5. Step 5: Solve for x
    x = 1,741,932,627.02/57,576.64
  6. Step 6: Final answer
    x = 30,254.16

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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.