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Finding the Fourth Proportional to 100,164.80, 150,028.86 and 50,157.68

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Solution

The fourth proportional to 100,164.80, 150,028.86 and 50,157.68 is: 75,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.80 : 150,028.86 = 50,157.68 : x
  2. Step 2: Convert to fraction form
    100,164.80/150,028.86 = 50,157.68/x
  3. Step 3: Cross multiply
    100,164.80x = 150,028.86 × 50,157.68
  4. Step 4: Simplify right side
    100,164.80x = 7,525,099,550.64
  5. Step 5: Solve for x
    x = 7,525,099,550.64/100,164.80
  6. Step 6: Final answer
    x = 75,127.19

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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.