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Finding the Fourth Proportional to 189,469.62, 261,469.89 and 104,584.86

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Solution

The fourth proportional to 189,469.62, 261,469.89 and 104,584.86 is: 144,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.62 : 261,469.89 = 104,584.86 : x
  2. Step 2: Convert to fraction form
    189,469.62/261,469.89 = 104,584.86/x
  3. Step 3: Cross multiply
    189,469.62x = 261,469.89 × 104,584.86
  4. Step 4: Simplify right side
    189,469.62x = 27,345,791,839.87
  5. Step 5: Solve for x
    x = 27,345,791,839.87/189,469.62
  6. Step 6: Final answer
    x = 144,328.11

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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.