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Finding the Fourth Proportional to 57,200, 78,939.24 and 32,057.60

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Solution

The fourth proportional to 57,200, 78,939.24 and 32,057.60 is: 44,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200 : 78,939.24 = 32,057.60 : x
  2. Step 2: Convert to fraction form
    57,200/78,939.24 = 32,057.60/x
  3. Step 3: Cross multiply
    57,200x = 78,939.24 × 32,057.60
  4. Step 4: Simplify right side
    57,200x = 2,530,602,580.22
  5. Step 5: Solve for x
    x = 2,530,602,580.22/57,200
  6. Step 6: Final answer
    x = 44,241.30

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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.