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Finding the Fourth Proportional to 139,542.10, 209,082.30 and 80,274.40

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Solution

The fourth proportional to 139,542.10, 209,082.30 and 80,274.40 is: 120,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,542.10 : 209,082.30 = 80,274.40 : x
  2. Step 2: Convert to fraction form
    139,542.10/209,082.30 = 80,274.40/x
  3. Step 3: Cross multiply
    139,542.10x = 209,082.30 × 80,274.40
  4. Step 4: Simplify right side
    139,542.10x = 16,783,956,183.12
  5. Step 5: Solve for x
    x = 16,783,956,183.12/139,542.10
  6. Step 6: Final answer
    x = 120,278.80

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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.