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Finding the Fourth Proportional to 189,838.28, 261,982.28 and 104,960.80

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Solution

The fourth proportional to 189,838.28, 261,982.28 and 104,960.80 is: 144,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,838.28 : 261,982.28 = 104,960.80 : x
  2. Step 2: Convert to fraction form
    189,838.28/261,982.28 = 104,960.80/x
  3. Step 3: Cross multiply
    189,838.28x = 261,982.28 × 104,960.80
  4. Step 4: Simplify right side
    189,838.28x = 27,497,869,694.62
  5. Step 5: Solve for x
    x = 27,497,869,694.62/189,838.28
  6. Step 6: Final answer
    x = 144,848.92

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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.