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Finding the Fourth Proportional to 100,340.16, 150,452.64 and 30,198.72

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Solution

The fourth proportional to 100,340.16, 150,452.64 and 30,198.72 is: 45,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.16 : 150,452.64 = 30,198.72 : x
  2. Step 2: Convert to fraction form
    100,340.16/150,452.64 = 30,198.72/x
  3. Step 3: Cross multiply
    100,340.16x = 150,452.64 × 30,198.72
  4. Step 4: Simplify right side
    100,340.16x = 4,543,477,148.62
  5. Step 5: Solve for x
    x = 4,543,477,148.62/100,340.16
  6. Step 6: Final answer
    x = 45,280.74

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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.