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Finding the Fourth Proportional to 54,473.97, 81,689.90 and 21,189.54

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Solution

The fourth proportional to 54,473.97, 81,689.90 and 21,189.54 is: 31,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,473.97 : 81,689.90 = 21,189.54 : x
  2. Step 2: Convert to fraction form
    54,473.97/81,689.90 = 21,189.54/x
  3. Step 3: Cross multiply
    54,473.97x = 81,689.90 × 21,189.54
  4. Step 4: Simplify right side
    54,473.97x = 1,730,971,297.70
  5. Step 5: Solve for x
    x = 1,730,971,297.70/54,473.97
  6. Step 6: Final answer
    x = 31,776.12

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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.