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Finding the Fourth Proportional to 20,805.34, 31,161.30 and 16,092.22

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Solution

The fourth proportional to 20,805.34, 31,161.30 and 16,092.22 is: 24,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.34 : 31,161.30 = 16,092.22 : x
  2. Step 2: Convert to fraction form
    20,805.34/31,161.30 = 16,092.22/x
  3. Step 3: Cross multiply
    20,805.34x = 31,161.30 × 16,092.22
  4. Step 4: Simplify right side
    20,805.34x = 501,454,495.09
  5. Step 5: Solve for x
    x = 501,454,495.09/20,805.34
  6. Step 6: Final answer
    x = 24,102.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.