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Finding the Fourth Proportional to 71,327.84, 106,976.27 and 21,394.53

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Solution

The fourth proportional to 71,327.84, 106,976.27 and 21,394.53 is: 32,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,327.84 : 106,976.27 = 21,394.53 : x
  2. Step 2: Convert to fraction form
    71,327.84/106,976.27 = 21,394.53/x
  3. Step 3: Cross multiply
    71,327.84x = 106,976.27 × 21,394.53
  4. Step 4: Simplify right side
    71,327.84x = 2,288,706,910.83
  5. Step 5: Solve for x
    x = 2,288,706,910.83/71,327.84
  6. Step 6: Final answer
    x = 32,087.15

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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.