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Finding the Fourth Proportional to 71,221.36, 106,792.60 and 29,131

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Solution

The fourth proportional to 71,221.36, 106,792.60 and 29,131 is: 43,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,221.36 : 106,792.60 = 29,131 : x
  2. Step 2: Convert to fraction form
    71,221.36/106,792.60 = 29,131/x
  3. Step 3: Cross multiply
    71,221.36x = 106,792.60 × 29,131
  4. Step 4: Simplify right side
    71,221.36x = 3,110,975,230.60
  5. Step 5: Solve for x
    x = 3,110,975,230.60/71,221.36
  6. Step 6: Final answer
    x = 43,680.37

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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.