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Finding the Fourth Proportional to 150,000.20, 224,741.10 and 123,561.80

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Solution

The fourth proportional to 150,000.20, 224,741.10 and 123,561.80 is: 185,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.20 : 224,741.10 = 123,561.80 : x
  2. Step 2: Convert to fraction form
    150,000.20/224,741.10 = 123,561.80/x
  3. Step 3: Cross multiply
    150,000.20x = 224,741.10 × 123,561.80
  4. Step 4: Simplify right side
    150,000.20x = 27,769,414,849.98
  5. Step 5: Solve for x
    x = 27,769,414,849.98/150,000.20
  6. Step 6: Final answer
    x = 185,129.19

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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.