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Finding the Fourth Proportional to 205,722.52, 308,085.54 and 142,365.16

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Solution

The fourth proportional to 205,722.52, 308,085.54 and 142,365.16 is: 213,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.52 : 308,085.54 = 142,365.16 : x
  2. Step 2: Convert to fraction form
    205,722.52/308,085.54 = 142,365.16/x
  3. Step 3: Cross multiply
    205,722.52x = 308,085.54 × 142,365.16
  4. Step 4: Simplify right side
    205,722.52x = 43,860,647,195.79
  5. Step 5: Solve for x
    x = 43,860,647,195.79/205,722.52
  6. Step 6: Final answer
    x = 213,202.95

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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.