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Finding the Fourth Proportional to 206,498.70, 284,963.64 and 115,853.04

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Solution

The fourth proportional to 206,498.70, 284,963.64 and 115,853.04 is: 159,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.70 : 284,963.64 = 115,853.04 : x
  2. Step 2: Convert to fraction form
    206,498.70/284,963.64 = 115,853.04/x
  3. Step 3: Cross multiply
    206,498.70x = 284,963.64 × 115,853.04
  4. Step 4: Simplify right side
    206,498.70x = 33,013,903,983.47
  5. Step 5: Solve for x
    x = 33,013,903,983.47/206,498.70
  6. Step 6: Final answer
    x = 159,874.63

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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.