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Finding the Fourth Proportional to 205,834.60, 308,590.62 and 81,268.84

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Solution

The fourth proportional to 205,834.60, 308,590.62 and 81,268.84 is: 121,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,834.60 : 308,590.62 = 81,268.84 : x
  2. Step 2: Convert to fraction form
    205,834.60/308,590.62 = 81,268.84/x
  3. Step 3: Cross multiply
    205,834.60x = 308,590.62 × 81,268.84
  4. Step 4: Simplify right side
    205,834.60x = 25,078,801,722.28
  5. Step 5: Solve for x
    x = 25,078,801,722.28/205,834.60
  6. Step 6: Final answer
    x = 121,839.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.