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Finding the Fourth Proportional to 220,132, 303,782.16 and 119,530

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Solution

The fourth proportional to 220,132, 303,782.16 and 119,530 is: 164,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,132 : 303,782.16 = 119,530 : x
  2. Step 2: Convert to fraction form
    220,132/303,782.16 = 119,530/x
  3. Step 3: Cross multiply
    220,132x = 303,782.16 × 119,530
  4. Step 4: Simplify right side
    220,132x = 36,311,081,584.80
  5. Step 5: Solve for x
    x = 36,311,081,584.80/220,132
  6. Step 6: Final answer
    x = 164,951.40

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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.