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Finding the Fourth Proportional to 230,071.20, 345,144.60 and 72,261.60

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Solution

The fourth proportional to 230,071.20, 345,144.60 and 72,261.60 is: 108,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.20 : 345,144.60 = 72,261.60 : x
  2. Step 2: Convert to fraction form
    230,071.20/345,144.60 = 72,261.60/x
  3. Step 3: Cross multiply
    230,071.20x = 345,144.60 × 72,261.60
  4. Step 4: Simplify right side
    230,071.20x = 24,940,701,027.36
  5. Step 5: Solve for x
    x = 24,940,701,027.36/230,071.20
  6. Step 6: Final answer
    x = 108,404.27

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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.