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Finding the Fourth Proportional to 57,412, 86,121.30 and 20,476

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Solution

The fourth proportional to 57,412, 86,121.30 and 20,476 is: 30,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412 : 86,121.30 = 20,476 : x
  2. Step 2: Convert to fraction form
    57,412/86,121.30 = 20,476/x
  3. Step 3: Cross multiply
    57,412x = 86,121.30 × 20,476
  4. Step 4: Simplify right side
    57,412x = 1,763,419,738.80
  5. Step 5: Solve for x
    x = 1,763,419,738.80/57,412
  6. Step 6: Final answer
    x = 30,715.18

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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.