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Finding the Fourth Proportional to 57,142.80, 78,856.20 and 31,993.20

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Solution

The fourth proportional to 57,142.80, 78,856.20 and 31,993.20 is: 44,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.80 : 78,856.20 = 31,993.20 : x
  2. Step 2: Convert to fraction form
    57,142.80/78,856.20 = 31,993.20/x
  3. Step 3: Cross multiply
    57,142.80x = 78,856.20 × 31,993.20
  4. Step 4: Simplify right side
    57,142.80x = 2,522,862,177.84
  5. Step 5: Solve for x
    x = 2,522,862,177.84/57,142.80
  6. Step 6: Final answer
    x = 44,150.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.