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Finding the Fourth Proportional to 100,198, 138,273.28 and 55,486

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Solution

The fourth proportional to 100,198, 138,273.28 and 55,486 is: 76,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198 : 138,273.28 = 55,486 : x
  2. Step 2: Convert to fraction form
    100,198/138,273.28 = 55,486/x
  3. Step 3: Cross multiply
    100,198x = 138,273.28 × 55,486
  4. Step 4: Simplify right side
    100,198x = 7,672,231,214.08
  5. Step 5: Solve for x
    x = 7,672,231,214.08/100,198
  6. Step 6: Final answer
    x = 76,570.70

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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.