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Finding the Fourth Proportional to 205,920, 284,167.68 and 116,496

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Solution

The fourth proportional to 205,920, 284,167.68 and 116,496 is: 160,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920 : 284,167.68 = 116,496 : x
  2. Step 2: Convert to fraction form
    205,920/284,167.68 = 116,496/x
  3. Step 3: Cross multiply
    205,920x = 284,167.68 × 116,496
  4. Step 4: Simplify right side
    205,920x = 33,104,398,049.28
  5. Step 5: Solve for x
    x = 33,104,398,049.28/205,920
  6. Step 6: Final answer
    x = 160,763.39

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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.