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Finding the Fourth Proportional to 71,221.51, 106,792.84 and 29,131.15

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Solution

The fourth proportional to 71,221.51, 106,792.84 and 29,131.15 is: 43,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,221.51 : 106,792.84 = 29,131.15 : x
  2. Step 2: Convert to fraction form
    71,221.51/106,792.84 = 29,131.15/x
  3. Step 3: Cross multiply
    71,221.51x = 106,792.84 × 29,131.15
  4. Step 4: Simplify right side
    71,221.51x = 3,110,998,240.97
  5. Step 5: Solve for x
    x = 3,110,998,240.97/71,221.51
  6. Step 6: Final answer
    x = 43,680.60

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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.