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Finding the Fourth Proportional to 128,802, 193,203 and 54,930

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Solution

The fourth proportional to 128,802, 193,203 and 54,930 is: 82,395

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,802 : 193,203 = 54,930 : x
  2. Step 2: Convert to fraction form
    128,802/193,203 = 54,930/x
  3. Step 3: Cross multiply
    128,802x = 193,203 × 54,930
  4. Step 4: Simplify right side
    128,802x = 10,612,640,790
  5. Step 5: Solve for x
    x = 10,612,640,790/128,802
  6. Step 6: Final answer
    x = 82,395

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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.