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Finding the Fourth Proportional to 197,680, 272,799.36 and 108,256

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Solution

The fourth proportional to 197,680, 272,799.36 and 108,256 is: 149,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,680 : 272,799.36 = 108,256 : x
  2. Step 2: Convert to fraction form
    197,680/272,799.36 = 108,256/x
  3. Step 3: Cross multiply
    197,680x = 272,799.36 × 108,256
  4. Step 4: Simplify right side
    197,680x = 29,532,167,516.16
  5. Step 5: Solve for x
    x = 29,532,167,516.16/197,680
  6. Step 6: Final answer
    x = 149,393.81

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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.