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Finding the Fourth Proportional to 150,424.64, 225,578.64 and 80,265.68

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Solution

The fourth proportional to 150,424.64, 225,578.64 and 80,265.68 is: 120,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424.64 : 225,578.64 = 80,265.68 : x
  2. Step 2: Convert to fraction form
    150,424.64/225,578.64 = 80,265.68/x
  3. Step 3: Cross multiply
    150,424.64x = 225,578.64 × 80,265.68
  4. Step 4: Simplify right side
    150,424.64x = 18,106,222,933.08
  5. Step 5: Solve for x
    x = 18,106,222,933.08/150,424.64
  6. Step 6: Final answer
    x = 120,367.40

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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.