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Finding the Fourth Proportional to 267,853.08, 401,768.08 and 80,859

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Solution

The fourth proportional to 267,853.08, 401,768.08 and 80,859 is: 121,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,853.08 : 401,768.08 = 80,859 : x
  2. Step 2: Convert to fraction form
    267,853.08/401,768.08 = 80,859/x
  3. Step 3: Cross multiply
    267,853.08x = 401,768.08 × 80,859
  4. Step 4: Simplify right side
    267,853.08x = 32,486,565,180.72
  5. Step 5: Solve for x
    x = 32,486,565,180.72/267,853.08
  6. Step 6: Final answer
    x = 121,285.02

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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.