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Finding the Fourth Proportional to 201,224, 277,690.20 and 111,800

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Solution

The fourth proportional to 201,224, 277,690.20 and 111,800 is: 154,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224 : 277,690.20 = 111,800 : x
  2. Step 2: Convert to fraction form
    201,224/277,690.20 = 111,800/x
  3. Step 3: Cross multiply
    201,224x = 277,690.20 × 111,800
  4. Step 4: Simplify right side
    201,224x = 31,045,764,360
  5. Step 5: Solve for x
    x = 31,045,764,360/201,224
  6. Step 6: Final answer
    x = 154,284.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.