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Finding the Fourth Proportional to 55,876, 83,796.19 and 18,429.07

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Solution

The fourth proportional to 55,876, 83,796.19 and 18,429.07 is: 27,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876 : 83,796.19 = 18,429.07 : x
  2. Step 2: Convert to fraction form
    55,876/83,796.19 = 18,429.07/x
  3. Step 3: Cross multiply
    55,876x = 83,796.19 × 18,429.07
  4. Step 4: Simplify right side
    55,876x = 1,544,285,851.24
  5. Step 5: Solve for x
    x = 1,544,285,851.24/55,876
  6. Step 6: Final answer
    x = 27,637.73

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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.