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Finding the Fourth Proportional to 129,646, 194,469 and 42,094

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Solution

The fourth proportional to 129,646, 194,469 and 42,094 is: 63,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646 : 194,469 = 42,094 : x
  2. Step 2: Convert to fraction form
    129,646/194,469 = 42,094/x
  3. Step 3: Cross multiply
    129,646x = 194,469 × 42,094
  4. Step 4: Simplify right side
    129,646x = 8,185,978,086
  5. Step 5: Solve for x
    x = 8,185,978,086/129,646
  6. Step 6: Final answer
    x = 63,141

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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.