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Finding the Fourth Proportional to 201,269, 277,680.42 and 120,722.60

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Solution

The fourth proportional to 201,269, 277,680.42 and 120,722.60 is: 166,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269 : 277,680.42 = 120,722.60 : x
  2. Step 2: Convert to fraction form
    201,269/277,680.42 = 120,722.60/x
  3. Step 3: Cross multiply
    201,269x = 277,680.42 × 120,722.60
  4. Step 4: Simplify right side
    201,269x = 33,522,302,271.49
  5. Step 5: Solve for x
    x = 33,522,302,271.49/201,269
  6. Step 6: Final answer
    x = 166,554.72

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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.