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Finding the Fourth Proportional to 201,074.72, 277,486.36 and 109,194

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Solution

The fourth proportional to 201,074.72, 277,486.36 and 109,194 is: 150,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,074.72 : 277,486.36 = 109,194 : x
  2. Step 2: Convert to fraction form
    201,074.72/277,486.36 = 109,194/x
  3. Step 3: Cross multiply
    201,074.72x = 277,486.36 × 109,194
  4. Step 4: Simplify right side
    201,074.72x = 30,299,845,593.84
  5. Step 5: Solve for x
    x = 30,299,845,593.84/201,074.72
  6. Step 6: Final answer
    x = 150,689.48

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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.