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Finding the Fourth Proportional to 205,440.68, 307,736.52 and 120,940.46

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Solution

The fourth proportional to 205,440.68, 307,736.52 and 120,940.46 is: 181,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,440.68 : 307,736.52 = 120,940.46 : x
  2. Step 2: Convert to fraction form
    205,440.68/307,736.52 = 120,940.46/x
  3. Step 3: Cross multiply
    205,440.68x = 307,736.52 × 120,940.46
  4. Step 4: Simplify right side
    205,440.68x = 37,217,796,287.60
  5. Step 5: Solve for x
    x = 37,217,796,287.60/205,440.68
  6. Step 6: Final answer
    x = 181,160.79

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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.