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Finding the Fourth Proportional to 49,149.40, 73,724.10 and 12,213.40

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Solution

The fourth proportional to 49,149.40, 73,724.10 and 12,213.40 is: 18,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149.40 : 73,724.10 = 12,213.40 : x
  2. Step 2: Convert to fraction form
    49,149.40/73,724.10 = 12,213.40/x
  3. Step 3: Cross multiply
    49,149.40x = 73,724.10 × 12,213.40
  4. Step 4: Simplify right side
    49,149.40x = 900,421,922.94
  5. Step 5: Solve for x
    x = 900,421,922.94/49,149.40
  6. Step 6: Final answer
    x = 18,320.10

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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.