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Finding the Fourth Proportional to 197,596, 272,682.48 and 108,172

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Solution

The fourth proportional to 197,596, 272,682.48 and 108,172 is: 149,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,596 : 272,682.48 = 108,172 : x
  2. Step 2: Convert to fraction form
    197,596/272,682.48 = 108,172/x
  3. Step 3: Cross multiply
    197,596x = 272,682.48 × 108,172
  4. Step 4: Simplify right side
    197,596x = 29,496,609,226.56
  5. Step 5: Solve for x
    x = 29,496,609,226.56/197,596
  6. Step 6: Final answer
    x = 149,277.36

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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.