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Finding the Fourth Proportional to 138,478.43, 207,782.22 and 54,216.73

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Solution

The fourth proportional to 138,478.43, 207,782.22 and 54,216.73 is: 81,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,478.43 : 207,782.22 = 54,216.73 : x
  2. Step 2: Convert to fraction form
    138,478.43/207,782.22 = 54,216.73/x
  3. Step 3: Cross multiply
    138,478.43x = 207,782.22 × 54,216.73
  4. Step 4: Simplify right side
    138,478.43x = 11,265,272,983.58
  5. Step 5: Solve for x
    x = 11,265,272,983.58/138,478.43
  6. Step 6: Final answer
    x = 81,350.38

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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.