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Finding the Fourth Proportional to 201,400, 277,932 and 110,757.60

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Solution

The fourth proportional to 201,400, 277,932 and 110,757.60 is: 152,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,400 : 277,932 = 110,757.60 : x
  2. Step 2: Convert to fraction form
    201,400/277,932 = 110,757.60/x
  3. Step 3: Cross multiply
    201,400x = 277,932 × 110,757.60
  4. Step 4: Simplify right side
    201,400x = 30,783,081,283.20
  5. Step 5: Solve for x
    x = 30,783,081,283.20/201,400
  6. Step 6: Final answer
    x = 152,845.49

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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.