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Finding the Fourth Proportional to 195,074, 269,202.12 and 105,650

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Solution

The fourth proportional to 195,074, 269,202.12 and 105,650 is: 145,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,074 : 269,202.12 = 105,650 : x
  2. Step 2: Convert to fraction form
    195,074/269,202.12 = 105,650/x
  3. Step 3: Cross multiply
    195,074x = 269,202.12 × 105,650
  4. Step 4: Simplify right side
    195,074x = 28,441,203,978
  5. Step 5: Solve for x
    x = 28,441,203,978/195,074
  6. Step 6: Final answer
    x = 145,797

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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.