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Finding the Fourth Proportional to 201,090, 277,504.20 and 111,666

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Solution

The fourth proportional to 201,090, 277,504.20 and 111,666 is: 154,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,090 : 277,504.20 = 111,666 : x
  2. Step 2: Convert to fraction form
    201,090/277,504.20 = 111,666/x
  3. Step 3: Cross multiply
    201,090x = 277,504.20 × 111,666
  4. Step 4: Simplify right side
    201,090x = 30,987,783,997.20
  5. Step 5: Solve for x
    x = 30,987,783,997.20/201,090
  6. Step 6: Final answer
    x = 154,099.08

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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.