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Finding the Fourth Proportional to 57,497.10, 86,260 and 20,057.70

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Solution

The fourth proportional to 57,497.10, 86,260 and 20,057.70 is: 30,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,497.10 : 86,260 = 20,057.70 : x
  2. Step 2: Convert to fraction form
    57,497.10/86,260 = 20,057.70/x
  3. Step 3: Cross multiply
    57,497.10x = 86,260 × 20,057.70
  4. Step 4: Simplify right side
    57,497.10x = 1,730,177,202
  5. Step 5: Solve for x
    x = 1,730,177,202/57,497.10
  6. Step 6: Final answer
    x = 30,091.56

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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.