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Finding the Fourth Proportional to 100,690, 150,940.62 and 34,083.52

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Solution

The fourth proportional to 100,690, 150,940.62 and 34,083.52 is: 51,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,690 : 150,940.62 = 34,083.52 : x
  2. Step 2: Convert to fraction form
    100,690/150,940.62 = 34,083.52/x
  3. Step 3: Cross multiply
    100,690x = 150,940.62 × 34,083.52
  4. Step 4: Simplify right side
    100,690x = 5,144,587,640.58
  5. Step 5: Solve for x
    x = 5,144,587,640.58/100,690
  6. Step 6: Final answer
    x = 51,093.33

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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.