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Finding the Fourth Proportional to 57,083.20, 85,624.80 and 20,147.20

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Solution

The fourth proportional to 57,083.20, 85,624.80 and 20,147.20 is: 30,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.20 : 85,624.80 = 20,147.20 : x
  2. Step 2: Convert to fraction form
    57,083.20/85,624.80 = 20,147.20/x
  3. Step 3: Cross multiply
    57,083.20x = 85,624.80 × 20,147.20
  4. Step 4: Simplify right side
    57,083.20x = 1,725,099,970.56
  5. Step 5: Solve for x
    x = 1,725,099,970.56/57,083.20
  6. Step 6: Final answer
    x = 30,220.80

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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.