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Finding the Fourth Proportional to 55,177, 82,778.46 and 18,241

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Solution

The fourth proportional to 55,177, 82,778.46 and 18,241 is: 27,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177 : 82,778.46 = 18,241 : x
  2. Step 2: Convert to fraction form
    55,177/82,778.46 = 18,241/x
  3. Step 3: Cross multiply
    55,177x = 82,778.46 × 18,241
  4. Step 4: Simplify right side
    55,177x = 1,509,961,888.86
  5. Step 5: Solve for x
    x = 1,509,961,888.86/55,177
  6. Step 6: Final answer
    x = 27,365.78

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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.