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Finding the Fourth Proportional to 189,474, 261,469.08 and 104,589.24

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Solution

The fourth proportional to 189,474, 261,469.08 and 104,589.24 is: 144,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474 : 261,469.08 = 104,589.24 : x
  2. Step 2: Convert to fraction form
    189,474/261,469.08 = 104,589.24/x
  3. Step 3: Cross multiply
    189,474x = 261,469.08 × 104,589.24
  4. Step 4: Simplify right side
    189,474x = 27,346,852,360.70
  5. Step 5: Solve for x
    x = 27,346,852,360.70/189,474
  6. Step 6: Final answer
    x = 144,330.37

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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.