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Finding the Fourth Proportional to 230,628.06, 345,319.05 and 119,586.78

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Solution

The fourth proportional to 230,628.06, 345,319.05 and 119,586.78 is: 179,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,628.06 : 345,319.05 = 119,586.78 : x
  2. Step 2: Convert to fraction form
    230,628.06/345,319.05 = 119,586.78/x
  3. Step 3: Cross multiply
    230,628.06x = 345,319.05 × 119,586.78
  4. Step 4: Simplify right side
    230,628.06x = 41,295,593,262.16
  5. Step 5: Solve for x
    x = 41,295,593,262.16/230,628.06
  6. Step 6: Final answer
    x = 179,057.11

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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.