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Finding the Fourth Proportional to 195,120, 269,265.68 and 105,696

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Solution

The fourth proportional to 195,120, 269,265.68 and 105,696 is: 145,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,120 : 269,265.68 = 105,696 : x
  2. Step 2: Convert to fraction form
    195,120/269,265.68 = 105,696/x
  3. Step 3: Cross multiply
    195,120x = 269,265.68 × 105,696
  4. Step 4: Simplify right side
    195,120x = 28,460,305,313.28
  5. Step 5: Solve for x
    x = 28,460,305,313.28/195,120
  6. Step 6: Final answer
    x = 145,860.52

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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.