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Finding the Fourth Proportional to 100,509.63, 150,760.74 and 25,629.08

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Solution

The fourth proportional to 100,509.63, 150,760.74 and 25,629.08 is: 38,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.63 : 150,760.74 = 25,629.08 : x
  2. Step 2: Convert to fraction form
    100,509.63/150,760.74 = 25,629.08/x
  3. Step 3: Cross multiply
    100,509.63x = 150,760.74 × 25,629.08
  4. Step 4: Simplify right side
    100,509.63x = 3,863,858,408.62
  5. Step 5: Solve for x
    x = 3,863,858,408.62/100,509.63
  6. Step 6: Final answer
    x = 38,442.67

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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.