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Finding the Fourth Proportional to 197,568, 272,648.16 and 108,144

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Solution

The fourth proportional to 197,568, 272,648.16 and 108,144 is: 149,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,568 : 272,648.16 = 108,144 : x
  2. Step 2: Convert to fraction form
    197,568/272,648.16 = 108,144/x
  3. Step 3: Cross multiply
    197,568x = 272,648.16 × 108,144
  4. Step 4: Simplify right side
    197,568x = 29,485,262,615.04
  5. Step 5: Solve for x
    x = 29,485,262,615.04/197,568
  6. Step 6: Final answer
    x = 149,241.08

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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.