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Finding the Fourth Proportional to 55,161.86, 82,742.81 and 13,608.86

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Solution

The fourth proportional to 55,161.86, 82,742.81 and 13,608.86 is: 20,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,161.86 : 82,742.81 = 13,608.86 : x
  2. Step 2: Convert to fraction form
    55,161.86/82,742.81 = 13,608.86/x
  3. Step 3: Cross multiply
    55,161.86x = 82,742.81 × 13,608.86
  4. Step 4: Simplify right side
    55,161.86x = 1,126,034,835.54
  5. Step 5: Solve for x
    x = 1,126,034,835.54/55,161.86
  6. Step 6: Final answer
    x = 20,413.29

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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.