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Finding the Fourth Proportional to 57,057.54, 85,407 and 39,183.54

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Solution

The fourth proportional to 57,057.54, 85,407 and 39,183.54 is: 58,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.54 : 85,407 = 39,183.54 : x
  2. Step 2: Convert to fraction form
    57,057.54/85,407 = 39,183.54/x
  3. Step 3: Cross multiply
    57,057.54x = 85,407 × 39,183.54
  4. Step 4: Simplify right side
    57,057.54x = 3,346,548,600.78
  5. Step 5: Solve for x
    x = 3,346,548,600.78/57,057.54
  6. Step 6: Final answer
    x = 58,652.17

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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.