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Finding the Fourth Proportional to 234,163.72, 323,143.14 and 126,731.20

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Solution

The fourth proportional to 234,163.72, 323,143.14 and 126,731.20 is: 174,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,163.72 : 323,143.14 = 126,731.20 : x
  2. Step 2: Convert to fraction form
    234,163.72/323,143.14 = 126,731.20/x
  3. Step 3: Cross multiply
    234,163.72x = 323,143.14 × 126,731.20
  4. Step 4: Simplify right side
    234,163.72x = 40,952,317,903.97
  5. Step 5: Solve for x
    x = 40,952,317,903.97/234,163.72
  6. Step 6: Final answer
    x = 174,887.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.