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Finding the Fourth Proportional to 57,145.20, 85,717.80 and 20,209.20

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Solution

The fourth proportional to 57,145.20, 85,717.80 and 20,209.20 is: 30,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.20 : 85,717.80 = 20,209.20 : x
  2. Step 2: Convert to fraction form
    57,145.20/85,717.80 = 20,209.20/x
  3. Step 3: Cross multiply
    57,145.20x = 85,717.80 × 20,209.20
  4. Step 4: Simplify right side
    57,145.20x = 1,732,288,163.76
  5. Step 5: Solve for x
    x = 1,732,288,163.76/57,145.20
  6. Step 6: Final answer
    x = 30,313.80

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1.5x scale

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.