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Finding the Fourth Proportional to 100,411.26, 150,511.80 and 33,828.39

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Solution

The fourth proportional to 100,411.26, 150,511.80 and 33,828.39 is: 50,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.26 : 150,511.80 = 33,828.39 : x
  2. Step 2: Convert to fraction form
    100,411.26/150,511.80 = 33,828.39/x
  3. Step 3: Cross multiply
    100,411.26x = 150,511.80 × 33,828.39
  4. Step 4: Simplify right side
    100,411.26x = 5,091,571,117.44
  5. Step 5: Solve for x
    x = 5,091,571,117.44/100,411.26
  6. Step 6: Final answer
    x = 50,707.17

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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.