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Finding the Fourth Proportional to 195,642, 269,987.04 and 106,218

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Solution

The fourth proportional to 195,642, 269,987.04 and 106,218 is: 146,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,642 : 269,987.04 = 106,218 : x
  2. Step 2: Convert to fraction form
    195,642/269,987.04 = 106,218/x
  3. Step 3: Cross multiply
    195,642x = 269,987.04 × 106,218
  4. Step 4: Simplify right side
    195,642x = 28,677,483,414.72
  5. Step 5: Solve for x
    x = 28,677,483,414.72/195,642
  6. Step 6: Final answer
    x = 146,581.43

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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.