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Finding the Fourth Proportional to 100,321.56, 150,502 and 37,142.20

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Solution

The fourth proportional to 100,321.56, 150,502 and 37,142.20 is: 55,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,321.56 : 150,502 = 37,142.20 : x
  2. Step 2: Convert to fraction form
    100,321.56/150,502 = 37,142.20/x
  3. Step 3: Cross multiply
    100,321.56x = 150,502 × 37,142.20
  4. Step 4: Simplify right side
    100,321.56x = 5,589,975,384.40
  5. Step 5: Solve for x
    x = 5,589,975,384.40/100,321.56
  6. Step 6: Final answer
    x = 55,720.58

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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.