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Finding the Fourth Proportional to 204,960, 282,844.80 and 115,536

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Solution

The fourth proportional to 204,960, 282,844.80 and 115,536 is: 159,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960 : 282,844.80 = 115,536 : x
  2. Step 2: Convert to fraction form
    204,960/282,844.80 = 115,536/x
  3. Step 3: Cross multiply
    204,960x = 282,844.80 × 115,536
  4. Step 4: Simplify right side
    204,960x = 32,678,756,812.80
  5. Step 5: Solve for x
    x = 32,678,756,812.80/204,960
  6. Step 6: Final answer
    x = 159,439.68

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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.