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Finding the Fourth Proportional to 57,270, 85,906.62 and 15,717

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Solution

The fourth proportional to 57,270, 85,906.62 and 15,717 is: 23,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270 : 85,906.62 = 15,717 : x
  2. Step 2: Convert to fraction form
    57,270/85,906.62 = 15,717/x
  3. Step 3: Cross multiply
    57,270x = 85,906.62 × 15,717
  4. Step 4: Simplify right side
    57,270x = 1,350,194,346.54
  5. Step 5: Solve for x
    x = 1,350,194,346.54/57,270
  6. Step 6: Final answer
    x = 23,575.94

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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.