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Finding the Fourth Proportional to 189,770.91, 261,889.91 and 103,728

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Solution

The fourth proportional to 189,770.91, 261,889.91 and 103,728 is: 143,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770.91 : 261,889.91 = 103,728 : x
  2. Step 2: Convert to fraction form
    189,770.91/261,889.91 = 103,728/x
  3. Step 3: Cross multiply
    189,770.91x = 261,889.91 × 103,728
  4. Step 4: Simplify right side
    189,770.91x = 27,165,316,843.80
  5. Step 5: Solve for x
    x = 27,165,316,843.80/189,770.91
  6. Step 6: Final answer
    x = 143,147.95

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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.