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Finding the Fourth Proportional to 57,142.67, 85,723.11 and 19,712.16

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Solution

The fourth proportional to 57,142.67, 85,723.11 and 19,712.16 is: 29,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.67 : 85,723.11 = 19,712.16 : x
  2. Step 2: Convert to fraction form
    57,142.67/85,723.11 = 19,712.16/x
  3. Step 3: Cross multiply
    57,142.67x = 85,723.11 × 19,712.16
  4. Step 4: Simplify right side
    57,142.67x = 1,689,787,660.02
  5. Step 5: Solve for x
    x = 1,689,787,660.02/57,142.67
  6. Step 6: Final answer
    x = 29,571.38

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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.