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Finding the Fourth Proportional to 54,701.68, 82,005.70 and 20,991.89

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Solution

The fourth proportional to 54,701.68, 82,005.70 and 20,991.89 is: 31,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,701.68 : 82,005.70 = 20,991.89 : x
  2. Step 2: Convert to fraction form
    54,701.68/82,005.70 = 20,991.89/x
  3. Step 3: Cross multiply
    54,701.68x = 82,005.70 × 20,991.89
  4. Step 4: Simplify right side
    54,701.68x = 1,721,454,633.77
  5. Step 5: Solve for x
    x = 1,721,454,633.77/54,701.68
  6. Step 6: Final answer
    x = 31,469.87

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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.