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Finding the Fourth Proportional to 132,930, 199,283.22 and 54,100.80

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Solution

The fourth proportional to 132,930, 199,283.22 and 54,100.80 is: 81,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,930 : 199,283.22 = 54,100.80 : x
  2. Step 2: Convert to fraction form
    132,930/199,283.22 = 54,100.80/x
  3. Step 3: Cross multiply
    132,930x = 199,283.22 × 54,100.80
  4. Step 4: Simplify right side
    132,930x = 10,781,381,628.58
  5. Step 5: Solve for x
    x = 10,781,381,628.58/132,930
  6. Step 6: Final answer
    x = 81,105.71

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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.