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Finding the Fourth Proportional to 72,487.41, 100,076.36 and 47,380.65

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Solution

The fourth proportional to 72,487.41, 100,076.36 and 47,380.65 is: 65,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,487.41 : 100,076.36 = 47,380.65 : x
  2. Step 2: Convert to fraction form
    72,487.41/100,076.36 = 47,380.65/x
  3. Step 3: Cross multiply
    72,487.41x = 100,076.36 × 47,380.65
  4. Step 4: Simplify right side
    72,487.41x = 4,741,682,640.76
  5. Step 5: Solve for x
    x = 4,741,682,640.76/72,487.41
  6. Step 6: Final answer
    x = 65,413.88

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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.