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Finding the Fourth Proportional to 71,211.84, 106,832.17 and 31,768.96

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Solution

The fourth proportional to 71,211.84, 106,832.17 and 31,768.96 is: 47,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211.84 : 106,832.17 = 31,768.96 : x
  2. Step 2: Convert to fraction form
    71,211.84/106,832.17 = 31,768.96/x
  3. Step 3: Cross multiply
    71,211.84x = 106,832.17 × 31,768.96
  4. Step 4: Simplify right side
    71,211.84x = 3,393,946,401.28
  5. Step 5: Solve for x
    x = 3,393,946,401.28/71,211.84
  6. Step 6: Final answer
    x = 47,659.86

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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.