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Finding the Fourth Proportional to 215,115.12, 322,716.24 and 90,456

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Solution

The fourth proportional to 215,115.12, 322,716.24 and 90,456 is: 135,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,115.12 : 322,716.24 = 90,456 : x
  2. Step 2: Convert to fraction form
    215,115.12/322,716.24 = 90,456/x
  3. Step 3: Cross multiply
    215,115.12x = 322,716.24 × 90,456
  4. Step 4: Simplify right side
    215,115.12x = 29,191,620,205.44
  5. Step 5: Solve for x
    x = 29,191,620,205.44/215,115.12
  6. Step 6: Final answer
    x = 135,702.32

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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.