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Finding the Fourth Proportional to 100,072.61, 150,127.10 and 47,481.60

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Solution

The fourth proportional to 100,072.61, 150,127.10 and 47,481.60 is: 71,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.61 : 150,127.10 = 47,481.60 : x
  2. Step 2: Convert to fraction form
    100,072.61/150,127.10 = 47,481.60/x
  3. Step 3: Cross multiply
    100,072.61x = 150,127.10 × 47,481.60
  4. Step 4: Simplify right side
    100,072.61x = 7,128,274,673.95
  5. Step 5: Solve for x
    x = 7,128,274,673.95/100,072.61
  6. Step 6: Final answer
    x = 71,231.03

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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.