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Finding the Fourth Proportional to 205,959.26, 308,985.44 and 111,187.37

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Solution

The fourth proportional to 205,959.26, 308,985.44 and 111,187.37 is: 166,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.26 : 308,985.44 = 111,187.37 : x
  2. Step 2: Convert to fraction form
    205,959.26/308,985.44 = 111,187.37/x
  3. Step 3: Cross multiply
    205,959.26x = 308,985.44 × 111,187.37
  4. Step 4: Simplify right side
    205,959.26x = 34,355,278,658.42
  5. Step 5: Solve for x
    x = 34,355,278,658.42/205,959.26
  6. Step 6: Final answer
    x = 166,806.18

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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.