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Finding the Fourth Proportional to 234,889.32, 351,984 and 129,738.36

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Solution

The fourth proportional to 234,889.32, 351,984 and 129,738.36 is: 194,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,889.32 : 351,984 = 129,738.36 : x
  2. Step 2: Convert to fraction form
    234,889.32/351,984 = 129,738.36/x
  3. Step 3: Cross multiply
    234,889.32x = 351,984 × 129,738.36
  4. Step 4: Simplify right side
    234,889.32x = 45,665,826,906.24
  5. Step 5: Solve for x
    x = 45,665,826,906.24/234,889.32
  6. Step 6: Final answer
    x = 194,414.23

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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.