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Finding the Fourth Proportional to 100,375.52, 150,570.56 and 30,260.30

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Solution

The fourth proportional to 100,375.52, 150,570.56 and 30,260.30 is: 45,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,375.52 : 150,570.56 = 30,260.30 : x
  2. Step 2: Convert to fraction form
    100,375.52/150,570.56 = 30,260.30/x
  3. Step 3: Cross multiply
    100,375.52x = 150,570.56 × 30,260.30
  4. Step 4: Simplify right side
    100,375.52x = 4,556,309,639.57
  5. Step 5: Solve for x
    x = 4,556,309,639.57/100,375.52
  6. Step 6: Final answer
    x = 45,392.64

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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.