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Finding the Fourth Proportional to 71,291.34, 106,906.89 and 21,378.54

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Solution

The fourth proportional to 71,291.34, 106,906.89 and 21,378.54 is: 32,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.34 : 106,906.89 = 21,378.54 : x
  2. Step 2: Convert to fraction form
    71,291.34/106,906.89 = 21,378.54/x
  3. Step 3: Cross multiply
    71,291.34x = 106,906.89 × 21,378.54
  4. Step 4: Simplify right side
    71,291.34x = 2,285,513,224.14
  5. Step 5: Solve for x
    x = 2,285,513,224.14/71,291.34
  6. Step 6: Final answer
    x = 32,058.78

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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.