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Finding the Fourth Proportional to 57,160.92, 78,708.24 and 50,694.60

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Solution

The fourth proportional to 57,160.92, 78,708.24 and 50,694.60 is: 69,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.92 : 78,708.24 = 50,694.60 : x
  2. Step 2: Convert to fraction form
    57,160.92/78,708.24 = 50,694.60/x
  3. Step 3: Cross multiply
    57,160.92x = 78,708.24 × 50,694.60
  4. Step 4: Simplify right side
    57,160.92x = 3,990,082,743.50
  5. Step 5: Solve for x
    x = 3,990,082,743.50/57,160.92
  6. Step 6: Final answer
    x = 69,804.38

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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.