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Finding the Fourth Proportional to 100,755.76, 151,128.16 and 30,629.60

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Solution

The fourth proportional to 100,755.76, 151,128.16 and 30,629.60 is: 45,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,755.76 : 151,128.16 = 30,629.60 : x
  2. Step 2: Convert to fraction form
    100,755.76/151,128.16 = 30,629.60/x
  3. Step 3: Cross multiply
    100,755.76x = 151,128.16 × 30,629.60
  4. Step 4: Simplify right side
    100,755.76x = 4,628,995,089.54
  5. Step 5: Solve for x
    x = 4,628,995,089.54/100,755.76
  6. Step 6: Final answer
    x = 45,942.73

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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.