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Finding the Fourth Proportional to 189,786, 261,882 and 104,891.52

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Solution

The fourth proportional to 189,786, 261,882 and 104,891.52 is: 144,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,786 : 261,882 = 104,891.52 : x
  2. Step 2: Convert to fraction form
    189,786/261,882 = 104,891.52/x
  3. Step 3: Cross multiply
    189,786x = 261,882 × 104,891.52
  4. Step 4: Simplify right side
    189,786x = 27,469,201,040.64
  5. Step 5: Solve for x
    x = 27,469,201,040.64/189,786
  6. Step 6: Final answer
    x = 144,737.76

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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.