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Finding the Fourth Proportional to 189,627.62, 261,672.81 and 104,738

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Solution

The fourth proportional to 189,627.62, 261,672.81 and 104,738 is: 144,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,627.62 : 261,672.81 = 104,738 : x
  2. Step 2: Convert to fraction form
    189,627.62/261,672.81 = 104,738/x
  3. Step 3: Cross multiply
    189,627.62x = 261,672.81 × 104,738
  4. Step 4: Simplify right side
    189,627.62x = 27,407,086,773.78
  5. Step 5: Solve for x
    x = 27,407,086,773.78/189,627.62
  6. Step 6: Final answer
    x = 144,531.09

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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.