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Finding the Fourth Proportional to 55,846, 83,781.36 and 18,404.56

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Solution

The fourth proportional to 55,846, 83,781.36 and 18,404.56 is: 27,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846 : 83,781.36 = 18,404.56 : x
  2. Step 2: Convert to fraction form
    55,846/83,781.36 = 18,404.56/x
  3. Step 3: Cross multiply
    55,846x = 83,781.36 × 18,404.56
  4. Step 4: Simplify right side
    55,846x = 1,541,959,067.00
  5. Step 5: Solve for x
    x = 1,541,959,067.00/55,846
  6. Step 6: Final answer
    x = 27,610.91

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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.