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Finding the Fourth Proportional to 205,378.25, 308,175.71 and 145,791.54

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Solution

The fourth proportional to 205,378.25, 308,175.71 and 145,791.54 is: 218,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,378.25 : 308,175.71 = 145,791.54 : x
  2. Step 2: Convert to fraction form
    205,378.25/308,175.71 = 145,791.54/x
  3. Step 3: Cross multiply
    205,378.25x = 308,175.71 × 145,791.54
  4. Step 4: Simplify right side
    205,378.25x = 44,929,410,622.54
  5. Step 5: Solve for x
    x = 44,929,410,622.54/205,378.25
  6. Step 6: Final answer
    x = 218,764.22

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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.