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Finding the Fourth Proportional to 57,168, 85,757.94 and 15,615

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Solution

The fourth proportional to 57,168, 85,757.94 and 15,615 is: 23,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 85,757.94 = 15,615 : x
  2. Step 2: Convert to fraction form
    57,168/85,757.94 = 15,615/x
  3. Step 3: Cross multiply
    57,168x = 85,757.94 × 15,615
  4. Step 4: Simplify right side
    57,168x = 1,339,110,233.10
  5. Step 5: Solve for x
    x = 1,339,110,233.10/57,168
  6. Step 6: Final answer
    x = 23,424.12

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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.