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Finding the Fourth Proportional to 189,379.92, 261,344 and 104,496.96

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Solution

The fourth proportional to 189,379.92, 261,344 and 104,496.96 is: 144,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379.92 : 261,344 = 104,496.96 : x
  2. Step 2: Convert to fraction form
    189,379.92/261,344 = 104,496.96/x
  3. Step 3: Cross multiply
    189,379.92x = 261,344 × 104,496.96
  4. Step 4: Simplify right side
    189,379.92x = 27,309,653,514.24
  5. Step 5: Solve for x
    x = 27,309,653,514.24/189,379.92
  6. Step 6: Final answer
    x = 144,205.65

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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.