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Finding the Fourth Proportional to 71,449.26, 107,168.13 and 29,317.38

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Solution

The fourth proportional to 71,449.26, 107,168.13 and 29,317.38 is: 43,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,449.26 : 107,168.13 = 29,317.38 : x
  2. Step 2: Convert to fraction form
    71,449.26/107,168.13 = 29,317.38/x
  3. Step 3: Cross multiply
    71,449.26x = 107,168.13 × 29,317.38
  4. Step 4: Simplify right side
    71,449.26x = 3,141,888,791.10
  5. Step 5: Solve for x
    x = 3,141,888,791.10/71,449.26
  6. Step 6: Final answer
    x = 43,973.71

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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.