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Finding the Fourth Proportional to 129,969.36, 194,510.49 and 108,933.15

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Solution

The fourth proportional to 129,969.36, 194,510.49 and 108,933.15 is: 163,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.36 : 194,510.49 = 108,933.15 : x
  2. Step 2: Convert to fraction form
    129,969.36/194,510.49 = 108,933.15/x
  3. Step 3: Cross multiply
    129,969.36x = 194,510.49 × 108,933.15
  4. Step 4: Simplify right side
    129,969.36x = 21,188,640,383.74
  5. Step 5: Solve for x
    x = 21,188,640,383.74/129,969.36
  6. Step 6: Final answer
    x = 163,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.