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Finding the Fourth Proportional to 200,272.60, 300,311.70 and 111,431.80

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Solution

The fourth proportional to 200,272.60, 300,311.70 and 111,431.80 is: 167,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,272.60 : 300,311.70 = 111,431.80 : x
  2. Step 2: Convert to fraction form
    200,272.60/300,311.70 = 111,431.80/x
  3. Step 3: Cross multiply
    200,272.60x = 300,311.70 × 111,431.80
  4. Step 4: Simplify right side
    200,272.60x = 33,464,273,292.06
  5. Step 5: Solve for x
    x = 33,464,273,292.06/200,272.60
  6. Step 6: Final answer
    x = 167,093.62

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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.