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Finding the Fourth Proportional to 54,498.70, 81,760.20 and 21,215.80

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Solution

The fourth proportional to 54,498.70, 81,760.20 and 21,215.80 is: 31,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498.70 : 81,760.20 = 21,215.80 : x
  2. Step 2: Convert to fraction form
    54,498.70/81,760.20 = 21,215.80/x
  3. Step 3: Cross multiply
    54,498.70x = 81,760.20 × 21,215.80
  4. Step 4: Simplify right side
    54,498.70x = 1,734,608,051.16
  5. Step 5: Solve for x
    x = 1,734,608,051.16/54,498.70
  6. Step 6: Final answer
    x = 31,828.43

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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.