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Finding the Fourth Proportional to 197,269, 272,231.22 and 107,845

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Solution

The fourth proportional to 197,269, 272,231.22 and 107,845 is: 148,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,269 : 272,231.22 = 107,845 : x
  2. Step 2: Convert to fraction form
    197,269/272,231.22 = 107,845/x
  3. Step 3: Cross multiply
    197,269x = 272,231.22 × 107,845
  4. Step 4: Simplify right side
    197,269x = 29,358,775,920.90
  5. Step 5: Solve for x
    x = 29,358,775,920.90/197,269
  6. Step 6: Final answer
    x = 148,826.10

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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.