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Finding the Fourth Proportional to 171,742.57, 257,614.51 and 71,832.68

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Solution

The fourth proportional to 171,742.57, 257,614.51 and 71,832.68 is: 107,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742.57 : 257,614.51 = 71,832.68 : x
  2. Step 2: Convert to fraction form
    171,742.57/257,614.51 = 71,832.68/x
  3. Step 3: Cross multiply
    171,742.57x = 257,614.51 × 71,832.68
  4. Step 4: Simplify right side
    171,742.57x = 18,505,139,372.11
  5. Step 5: Solve for x
    x = 18,505,139,372.11/171,742.57
  6. Step 6: Final answer
    x = 107,749.29

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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.