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Finding the Fourth Proportional to 217,739.48, 300,470.44 and 120,949.48

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Solution

The fourth proportional to 217,739.48, 300,470.44 and 120,949.48 is: 166,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,739.48 : 300,470.44 = 120,949.48 : x
  2. Step 2: Convert to fraction form
    217,739.48/300,470.44 = 120,949.48/x
  3. Step 3: Cross multiply
    217,739.48x = 300,470.44 × 120,949.48
  4. Step 4: Simplify right side
    217,739.48x = 36,341,743,473.37
  5. Step 5: Solve for x
    x = 36,341,743,473.37/217,739.48
  6. Step 6: Final answer
    x = 166,904.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.