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Finding the Fourth Proportional to 197,233, 272,181.54 and 107,809

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Solution

The fourth proportional to 197,233, 272,181.54 and 107,809 is: 148,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,233 : 272,181.54 = 107,809 : x
  2. Step 2: Convert to fraction form
    197,233/272,181.54 = 107,809/x
  3. Step 3: Cross multiply
    197,233x = 272,181.54 × 107,809
  4. Step 4: Simplify right side
    197,233x = 29,343,619,645.86
  5. Step 5: Solve for x
    x = 29,343,619,645.86/197,233
  6. Step 6: Final answer
    x = 148,776.42

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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.