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Finding the Fourth Proportional to 197,267, 272,229.42 and 107,843

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Solution

The fourth proportional to 197,267, 272,229.42 and 107,843 is: 148,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,267 : 272,229.42 = 107,843 : x
  2. Step 2: Convert to fraction form
    197,267/272,229.42 = 107,843/x
  3. Step 3: Cross multiply
    197,267x = 272,229.42 × 107,843
  4. Step 4: Simplify right side
    197,267x = 29,358,037,341.06
  5. Step 5: Solve for x
    x = 29,358,037,341.06/197,267
  6. Step 6: Final answer
    x = 148,823.86

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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.