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Finding the Fourth Proportional to 50,978.38, 76,481.36 and 36,280.60

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Solution

The fourth proportional to 50,978.38, 76,481.36 and 36,280.60 is: 54,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.38 : 76,481.36 = 36,280.60 : x
  2. Step 2: Convert to fraction form
    50,978.38/76,481.36 = 36,280.60/x
  3. Step 3: Cross multiply
    50,978.38x = 76,481.36 × 36,280.60
  4. Step 4: Simplify right side
    50,978.38x = 2,774,789,629.62
  5. Step 5: Solve for x
    x = 2,774,789,629.62/50,978.38
  6. Step 6: Final answer
    x = 54,430.71

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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.