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Finding the Fourth Proportional to 195,108, 269,249.04 and 105,684

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Solution

The fourth proportional to 195,108, 269,249.04 and 105,684 is: 145,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,108 : 269,249.04 = 105,684 : x
  2. Step 2: Convert to fraction form
    195,108/269,249.04 = 105,684/x
  3. Step 3: Cross multiply
    195,108x = 269,249.04 × 105,684
  4. Step 4: Simplify right side
    195,108x = 28,455,315,543.36
  5. Step 5: Solve for x
    x = 28,455,315,543.36/195,108
  6. Step 6: Final answer
    x = 145,843.92

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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.