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Finding the Fourth Proportional to 71,118.34, 106,683.01 and 21,194.60

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Solution

The fourth proportional to 71,118.34, 106,683.01 and 21,194.60 is: 31,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,118.34 : 106,683.01 = 21,194.60 : x
  2. Step 2: Convert to fraction form
    71,118.34/106,683.01 = 21,194.60/x
  3. Step 3: Cross multiply
    71,118.34x = 106,683.01 × 21,194.60
  4. Step 4: Simplify right side
    71,118.34x = 2,261,103,137.34
  5. Step 5: Solve for x
    x = 2,261,103,137.34/71,118.34
  6. Step 6: Final answer
    x = 31,793.53

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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.