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Finding the Fourth Proportional to 133,205.88, 183,836.83 and 72,785.71

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Solution

The fourth proportional to 133,205.88, 183,836.83 and 72,785.71 is: 100,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.88 : 183,836.83 = 72,785.71 : x
  2. Step 2: Convert to fraction form
    133,205.88/183,836.83 = 72,785.71/x
  3. Step 3: Cross multiply
    133,205.88x = 183,836.83 × 72,785.71
  4. Step 4: Simplify right side
    133,205.88x = 13,380,694,195.70
  5. Step 5: Solve for x
    x = 13,380,694,195.70/133,205.88
  6. Step 6: Final answer
    x = 100,451.23

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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.