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Finding the Fourth Proportional to 197,704.62, 272,821.56 and 117,139.56

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Solution

The fourth proportional to 197,704.62, 272,821.56 and 117,139.56 is: 161,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,704.62 : 272,821.56 = 117,139.56 : x
  2. Step 2: Convert to fraction form
    197,704.62/272,821.56 = 117,139.56/x
  3. Step 3: Cross multiply
    197,704.62x = 272,821.56 × 117,139.56
  4. Step 4: Simplify right side
    197,704.62x = 31,958,197,496.91
  5. Step 5: Solve for x
    x = 31,958,197,496.91/197,704.62
  6. Step 6: Final answer
    x = 161,646.18

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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.