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Finding the Fourth Proportional to 257,768.33, 386,194.97 and 107,678.30

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Solution

The fourth proportional to 257,768.33, 386,194.97 and 107,678.30 is: 161,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,768.33 : 386,194.97 = 107,678.30 : x
  2. Step 2: Convert to fraction form
    257,768.33/386,194.97 = 107,678.30/x
  3. Step 3: Cross multiply
    257,768.33x = 386,194.97 × 107,678.30
  4. Step 4: Simplify right side
    257,768.33x = 41,584,816,176.37
  5. Step 5: Solve for x
    x = 41,584,816,176.37/257,768.33
  6. Step 6: Final answer
    x = 161,326.32

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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.