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Finding the Fourth Proportional to 71,770.29, 107,671.82 and 21,857.46

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Solution

The fourth proportional to 71,770.29, 107,671.82 and 21,857.46 is: 32,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.29 : 107,671.82 = 21,857.46 : x
  2. Step 2: Convert to fraction form
    71,770.29/107,671.82 = 21,857.46/x
  3. Step 3: Cross multiply
    71,770.29x = 107,671.82 × 21,857.46
  4. Step 4: Simplify right side
    71,770.29x = 2,353,432,389.49
  5. Step 5: Solve for x
    x = 2,353,432,389.49/71,770.29
  6. Step 6: Final answer
    x = 32,791.18

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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.