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Finding the Fourth Proportional to 100,602.06, 150,905.25 and 30,481.26

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Solution

The fourth proportional to 100,602.06, 150,905.25 and 30,481.26 is: 45,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602.06 : 150,905.25 = 30,481.26 : x
  2. Step 2: Convert to fraction form
    100,602.06/150,905.25 = 30,481.26/x
  3. Step 3: Cross multiply
    100,602.06x = 150,905.25 × 30,481.26
  4. Step 4: Simplify right side
    100,602.06x = 4,599,782,160.62
  5. Step 5: Solve for x
    x = 4,599,782,160.62/100,602.06
  6. Step 6: Final answer
    x = 45,722.54

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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.