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Finding the Fourth Proportional to 195,969, 270,486.20 and 120,473.76

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Solution

The fourth proportional to 195,969, 270,486.20 and 120,473.76 is: 166,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,969 : 270,486.20 = 120,473.76 : x
  2. Step 2: Convert to fraction form
    195,969/270,486.20 = 120,473.76/x
  3. Step 3: Cross multiply
    195,969x = 270,486.20 × 120,473.76
  4. Step 4: Simplify right side
    195,969x = 32,586,489,542.11
  5. Step 5: Solve for x
    x = 32,586,489,542.11/195,969
  6. Step 6: Final answer
    x = 166,283.90

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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.