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Finding the Fourth Proportional to 100,100.27, 150,166.80 and 47,481.05

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Solution

The fourth proportional to 100,100.27, 150,166.80 and 47,481.05 is: 71,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.27 : 150,166.80 = 47,481.05 : x
  2. Step 2: Convert to fraction form
    100,100.27/150,166.80 = 47,481.05/x
  3. Step 3: Cross multiply
    100,100.27x = 150,166.80 × 47,481.05
  4. Step 4: Simplify right side
    100,100.27x = 7,130,076,588.31
  5. Step 5: Solve for x
    x = 7,130,076,588.31/100,100.27
  6. Step 6: Final answer
    x = 71,229.35

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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.