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Finding the Fourth Proportional to 272,873.20, 409,354.60 and 85,839.60

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Solution

The fourth proportional to 272,873.20, 409,354.60 and 85,839.60 is: 128,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,873.20 : 409,354.60 = 85,839.60 : x
  2. Step 2: Convert to fraction form
    272,873.20/409,354.60 = 85,839.60/x
  3. Step 3: Cross multiply
    272,873.20x = 409,354.60 × 85,839.60
  4. Step 4: Simplify right side
    272,873.20x = 35,138,835,122.16
  5. Step 5: Solve for x
    x = 35,138,835,122.16/272,873.20
  6. Step 6: Final answer
    x = 128,773.49

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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.