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Finding the Fourth Proportional to 189,299.52, 261,223.92 and 104,414.40

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Solution

The fourth proportional to 189,299.52, 261,223.92 and 104,414.40 is: 144,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,299.52 : 261,223.92 = 104,414.40 : x
  2. Step 2: Convert to fraction form
    189,299.52/261,223.92 = 104,414.40/x
  3. Step 3: Cross multiply
    189,299.52x = 261,223.92 × 104,414.40
  4. Step 4: Simplify right side
    189,299.52x = 27,275,538,872.45
  5. Step 5: Solve for x
    x = 27,275,538,872.45/189,299.52
  6. Step 6: Final answer
    x = 144,086.68

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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.