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Finding the Fourth Proportional to 150,193.80, 225,549.90 and 80,209.80

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Solution

The fourth proportional to 150,193.80, 225,549.90 and 80,209.80 is: 120,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193.80 : 225,549.90 = 80,209.80 : x
  2. Step 2: Convert to fraction form
    150,193.80/225,549.90 = 80,209.80/x
  3. Step 3: Cross multiply
    150,193.80x = 225,549.90 × 80,209.80
  4. Step 4: Simplify right side
    150,193.80x = 18,091,312,369.02
  5. Step 5: Solve for x
    x = 18,091,312,369.02/150,193.80
  6. Step 6: Final answer
    x = 120,453.12

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1.5x scale

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.