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Finding the Fourth Proportional to 197,406, 272,422.44 and 107,982

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Solution

The fourth proportional to 197,406, 272,422.44 and 107,982 is: 149,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,406 : 272,422.44 = 107,982 : x
  2. Step 2: Convert to fraction form
    197,406/272,422.44 = 107,982/x
  3. Step 3: Cross multiply
    197,406x = 272,422.44 × 107,982
  4. Step 4: Simplify right side
    197,406x = 29,416,719,916.08
  5. Step 5: Solve for x
    x = 29,416,719,916.08/197,406
  6. Step 6: Final answer
    x = 149,016.34

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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.