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Finding the Fourth Proportional to 71,920.98, 107,893.54 and 21,989.37

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Solution

The fourth proportional to 71,920.98, 107,893.54 and 21,989.37 is: 32,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.98 : 107,893.54 = 21,989.37 : x
  2. Step 2: Convert to fraction form
    71,920.98/107,893.54 = 21,989.37/x
  3. Step 3: Cross multiply
    71,920.98x = 107,893.54 × 21,989.37
  4. Step 4: Simplify right side
    71,920.98x = 2,372,511,280.07
  5. Step 5: Solve for x
    x = 2,372,511,280.07/71,920.98
  6. Step 6: Final answer
    x = 32,987.75

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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.