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Finding the Fourth Proportional to 197,163, 272,090.39 and 120,680.57

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Solution

The fourth proportional to 197,163, 272,090.39 and 120,680.57 is: 166,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,163 : 272,090.39 = 120,680.57 : x
  2. Step 2: Convert to fraction form
    197,163/272,090.39 = 120,680.57/x
  3. Step 3: Cross multiply
    197,163x = 272,090.39 × 120,680.57
  4. Step 4: Simplify right side
    197,163x = 32,836,023,356.72
  5. Step 5: Solve for x
    x = 32,836,023,356.72/197,163
  6. Step 6: Final answer
    x = 166,542.52

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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.