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Finding the Fourth Proportional to 55,176, 76,142.94 and 30,025.56

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Solution

The fourth proportional to 55,176, 76,142.94 and 30,025.56 is: 41,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176 : 76,142.94 = 30,025.56 : x
  2. Step 2: Convert to fraction form
    55,176/76,142.94 = 30,025.56/x
  3. Step 3: Cross multiply
    55,176x = 76,142.94 × 30,025.56
  4. Step 4: Simplify right side
    55,176x = 2,286,234,413.55
  5. Step 5: Solve for x
    x = 2,286,234,413.55/55,176
  6. Step 6: Final answer
    x = 41,435.31

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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.