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Finding the Fourth Proportional to 272,906.20, 409,505.10 and 123,169.60

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Solution

The fourth proportional to 272,906.20, 409,505.10 and 123,169.60 is: 184,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,906.20 : 409,505.10 = 123,169.60 : x
  2. Step 2: Convert to fraction form
    272,906.20/409,505.10 = 123,169.60/x
  3. Step 3: Cross multiply
    272,906.20x = 409,505.10 × 123,169.60
  4. Step 4: Simplify right side
    272,906.20x = 50,438,579,364.96
  5. Step 5: Solve for x
    x = 50,438,579,364.96/272,906.20
  6. Step 6: Final answer
    x = 184,820.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.