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Finding the Fourth Proportional to 189,828, 261,939.90 and 104,933.52

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Solution

The fourth proportional to 189,828, 261,939.90 and 104,933.52 is: 144,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828 : 261,939.90 = 104,933.52 : x
  2. Step 2: Convert to fraction form
    189,828/261,939.90 = 104,933.52/x
  3. Step 3: Cross multiply
    189,828x = 261,939.90 × 104,933.52
  4. Step 4: Simplify right side
    189,828x = 27,486,275,735.45
  5. Step 5: Solve for x
    x = 27,486,275,735.45/189,828
  6. Step 6: Final answer
    x = 144,795.69

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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.