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Finding the Fourth Proportional to 57,149.70, 85,724.55 and 20,213.70

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Solution

The fourth proportional to 57,149.70, 85,724.55 and 20,213.70 is: 30,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.70 : 85,724.55 = 20,213.70 : x
  2. Step 2: Convert to fraction form
    57,149.70/85,724.55 = 20,213.70/x
  3. Step 3: Cross multiply
    57,149.70x = 85,724.55 × 20,213.70
  4. Step 4: Simplify right side
    57,149.70x = 1,732,810,336.34
  5. Step 5: Solve for x
    x = 1,732,810,336.34/57,149.70
  6. Step 6: Final answer
    x = 30,320.55

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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.