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Finding the Fourth Proportional to 205,828, 284,042.64 and 111,620

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Solution

The fourth proportional to 205,828, 284,042.64 and 111,620 is: 154,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,828 : 284,042.64 = 111,620 : x
  2. Step 2: Convert to fraction form
    205,828/284,042.64 = 111,620/x
  3. Step 3: Cross multiply
    205,828x = 284,042.64 × 111,620
  4. Step 4: Simplify right side
    205,828x = 31,704,839,476.80
  5. Step 5: Solve for x
    x = 31,704,839,476.80/205,828
  6. Step 6: Final answer
    x = 154,035.60

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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.