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Finding the Fourth Proportional to 205,317, 283,337.46 and 111,109

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Solution

The fourth proportional to 205,317, 283,337.46 and 111,109 is: 153,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,317 : 283,337.46 = 111,109 : x
  2. Step 2: Convert to fraction form
    205,317/283,337.46 = 111,109/x
  3. Step 3: Cross multiply
    205,317x = 283,337.46 × 111,109
  4. Step 4: Simplify right side
    205,317x = 31,481,341,843.14
  5. Step 5: Solve for x
    x = 31,481,341,843.14/205,317
  6. Step 6: Final answer
    x = 153,330.42

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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.