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Finding the Fourth Proportional to 234,372, 323,433.20 and 126,942

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Solution

The fourth proportional to 234,372, 323,433.20 and 126,942 is: 175,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,372 : 323,433.20 = 126,942 : x
  2. Step 2: Convert to fraction form
    234,372/323,433.20 = 126,942/x
  3. Step 3: Cross multiply
    234,372x = 323,433.20 × 126,942
  4. Step 4: Simplify right side
    234,372x = 41,057,257,274.40
  5. Step 5: Solve for x
    x = 41,057,257,274.40/234,372
  6. Step 6: Final answer
    x = 175,179.87

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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.