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Finding the Fourth Proportional to 195,150, 269,307 and 105,726

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Solution

The fourth proportional to 195,150, 269,307 and 105,726 is: 145,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,150 : 269,307 = 105,726 : x
  2. Step 2: Convert to fraction form
    195,150/269,307 = 105,726/x
  3. Step 3: Cross multiply
    195,150x = 269,307 × 105,726
  4. Step 4: Simplify right side
    195,150x = 28,472,751,882
  5. Step 5: Solve for x
    x = 28,472,751,882/195,150
  6. Step 6: Final answer
    x = 145,901.88

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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.