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Finding the Fourth Proportional to 54,611.88, 81,917.68 and 31,221.91

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Solution

The fourth proportional to 54,611.88, 81,917.68 and 31,221.91 is: 46,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611.88 : 81,917.68 = 31,221.91 : x
  2. Step 2: Convert to fraction form
    54,611.88/81,917.68 = 31,221.91/x
  3. Step 3: Cross multiply
    54,611.88x = 81,917.68 × 31,221.91
  4. Step 4: Simplify right side
    54,611.88x = 2,557,626,432.37
  5. Step 5: Solve for x
    x = 2,557,626,432.37/54,611.88
  6. Step 6: Final answer
    x = 46,832.78

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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.