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Finding the Fourth Proportional to 205,711.88, 283,869.03 and 115,052.15

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Solution

The fourth proportional to 205,711.88, 283,869.03 and 115,052.15 is: 158,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,711.88 : 283,869.03 = 115,052.15 : x
  2. Step 2: Convert to fraction form
    205,711.88/283,869.03 = 115,052.15/x
  3. Step 3: Cross multiply
    205,711.88x = 283,869.03 × 115,052.15
  4. Step 4: Simplify right side
    205,711.88x = 32,659,741,440.69
  5. Step 5: Solve for x
    x = 32,659,741,440.69/205,711.88
  6. Step 6: Final answer
    x = 158,764.49

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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.