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Finding the Fourth Proportional to 71,871.39, 107,823.48 and 21,958.58

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Solution

The fourth proportional to 71,871.39, 107,823.48 and 21,958.58 is: 32,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.39 : 107,823.48 = 21,958.58 : x
  2. Step 2: Convert to fraction form
    71,871.39/107,823.48 = 21,958.58/x
  3. Step 3: Cross multiply
    71,871.39x = 107,823.48 × 21,958.58
  4. Step 4: Simplify right side
    71,871.39x = 2,367,649,972.34
  5. Step 5: Solve for x
    x = 2,367,649,972.34/71,871.39
  6. Step 6: Final answer
    x = 32,942.87

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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.