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Finding the Fourth Proportional to 195,067.68, 269,194.32 and 105,643.68

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Solution

The fourth proportional to 195,067.68, 269,194.32 and 105,643.68 is: 145,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,067.68 : 269,194.32 = 105,643.68 : x
  2. Step 2: Convert to fraction form
    195,067.68/269,194.32 = 105,643.68/x
  3. Step 3: Cross multiply
    195,067.68x = 269,194.32 × 105,643.68
  4. Step 4: Simplify right side
    195,067.68x = 28,438,678,599.90
  5. Step 5: Solve for x
    x = 28,438,678,599.90/195,067.68
  6. Step 6: Final answer
    x = 145,788.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.