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Finding the Fourth Proportional to 230,149.15, 345,224.63 and 80,388.86

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Solution

The fourth proportional to 230,149.15, 345,224.63 and 80,388.86 is: 120,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,149.15 : 345,224.63 = 80,388.86 : x
  2. Step 2: Convert to fraction form
    230,149.15/345,224.63 = 80,388.86/x
  3. Step 3: Cross multiply
    230,149.15x = 345,224.63 × 80,388.86
  4. Step 4: Simplify right side
    230,149.15x = 27,752,212,924.47
  5. Step 5: Solve for x
    x = 27,752,212,924.47/230,149.15
  6. Step 6: Final answer
    x = 120,583.60

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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.