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Finding the Fourth Proportional to 204,099.40, 306,149.10 and 147,674.80

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Solution

The fourth proportional to 204,099.40, 306,149.10 and 147,674.80 is: 221,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,099.40 : 306,149.10 = 147,674.80 : x
  2. Step 2: Convert to fraction form
    204,099.40/306,149.10 = 147,674.80/x
  3. Step 3: Cross multiply
    204,099.40x = 306,149.10 × 147,674.80
  4. Step 4: Simplify right side
    204,099.40x = 45,210,507,112.68
  5. Step 5: Solve for x
    x = 45,210,507,112.68/204,099.40
  6. Step 6: Final answer
    x = 221,512.20

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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.