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Finding the Fourth Proportional to 129,383.28, 194,074.86 and 35,889

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Solution

The fourth proportional to 129,383.28, 194,074.86 and 35,889 is: 53,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,383.28 : 194,074.86 = 35,889 : x
  2. Step 2: Convert to fraction form
    129,383.28/194,074.86 = 35,889/x
  3. Step 3: Cross multiply
    129,383.28x = 194,074.86 × 35,889
  4. Step 4: Simplify right side
    129,383.28x = 6,965,152,650.54
  5. Step 5: Solve for x
    x = 6,965,152,650.54/129,383.28
  6. Step 6: Final answer
    x = 53,833.48

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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.