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Finding the Fourth Proportional to 57,188, 85,788 and 15,635

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Solution

The fourth proportional to 57,188, 85,788 and 15,635 is: 23,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,188 : 85,788 = 15,635 : x
  2. Step 2: Convert to fraction form
    57,188/85,788 = 15,635/x
  3. Step 3: Cross multiply
    57,188x = 85,788 × 15,635
  4. Step 4: Simplify right side
    57,188x = 1,341,295,380
  5. Step 5: Solve for x
    x = 1,341,295,380/57,188
  6. Step 6: Final answer
    x = 23,454.14

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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.