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Finding the Fourth Proportional to 195,122, 269,268.44 and 105,698

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Solution

The fourth proportional to 195,122, 269,268.44 and 105,698 is: 145,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,122 : 269,268.44 = 105,698 : x
  2. Step 2: Convert to fraction form
    195,122/269,268.44 = 105,698/x
  3. Step 3: Cross multiply
    195,122x = 269,268.44 × 105,698
  4. Step 4: Simplify right side
    195,122x = 28,461,135,571.12
  5. Step 5: Solve for x
    x = 28,461,135,571.12/195,122
  6. Step 6: Final answer
    x = 145,863.28

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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.