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Finding the Fourth Proportional to 213,961.20, 320,855.40 and 73,647.60

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Solution

The fourth proportional to 213,961.20, 320,855.40 and 73,647.60 is: 110,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,961.20 : 320,855.40 = 73,647.60 : x
  2. Step 2: Convert to fraction form
    213,961.20/320,855.40 = 73,647.60/x
  3. Step 3: Cross multiply
    213,961.20x = 320,855.40 × 73,647.60
  4. Step 4: Simplify right side
    213,961.20x = 23,630,230,157.04
  5. Step 5: Solve for x
    x = 23,630,230,157.04/213,961.20
  6. Step 6: Final answer
    x = 110,441.66

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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.