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Finding the Fourth Proportional to 100,187.68, 150,286.17 and 55,780.96

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Solution

The fourth proportional to 100,187.68, 150,286.17 and 55,780.96 is: 83,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.68 : 150,286.17 = 55,780.96 : x
  2. Step 2: Convert to fraction form
    100,187.68/150,286.17 = 55,780.96/x
  3. Step 3: Cross multiply
    100,187.68x = 150,286.17 × 55,780.96
  4. Step 4: Simplify right side
    100,187.68x = 8,383,106,837.32
  5. Step 5: Solve for x
    x = 8,383,106,837.32/100,187.68
  6. Step 6: Final answer
    x = 83,674.03

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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.