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Finding the Fourth Proportional to 71,457.72, 107,183.31 and 29,327.40

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Solution

The fourth proportional to 71,457.72, 107,183.31 and 29,327.40 is: 43,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.72 : 107,183.31 = 29,327.40 : x
  2. Step 2: Convert to fraction form
    71,457.72/107,183.31 = 29,327.40/x
  3. Step 3: Cross multiply
    71,457.72x = 107,183.31 × 29,327.40
  4. Step 4: Simplify right side
    71,457.72x = 3,143,407,805.69
  5. Step 5: Solve for x
    x = 3,143,407,805.69/71,457.72
  6. Step 6: Final answer
    x = 43,989.76

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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.