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Finding the Fourth Proportional to 54,503.30, 81,694.20 and 21,212.30

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Solution

The fourth proportional to 54,503.30, 81,694.20 and 21,212.30 is: 31,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,503.30 : 81,694.20 = 21,212.30 : x
  2. Step 2: Convert to fraction form
    54,503.30/81,694.20 = 21,212.30/x
  3. Step 3: Cross multiply
    54,503.30x = 81,694.20 × 21,212.30
  4. Step 4: Simplify right side
    54,503.30x = 1,732,921,878.66
  5. Step 5: Solve for x
    x = 1,732,921,878.66/54,503.30
  6. Step 6: Final answer
    x = 31,794.81

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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.