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Finding the Fourth Proportional to 54,537.88, 81,806.21 and 21,281.31

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Solution

The fourth proportional to 54,537.88, 81,806.21 and 21,281.31 is: 31,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537.88 : 81,806.21 = 21,281.31 : x
  2. Step 2: Convert to fraction form
    54,537.88/81,806.21 = 21,281.31/x
  3. Step 3: Cross multiply
    54,537.88x = 81,806.21 × 21,281.31
  4. Step 4: Simplify right side
    54,537.88x = 1,740,942,799.50
  5. Step 5: Solve for x
    x = 1,740,942,799.50/54,537.88
  6. Step 6: Final answer
    x = 31,921.72

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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.