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Finding the Fourth Proportional to 147,238, 203,188.44 and 80,170

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Solution

The fourth proportional to 147,238, 203,188.44 and 80,170 is: 110,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,238 : 203,188.44 = 80,170 : x
  2. Step 2: Convert to fraction form
    147,238/203,188.44 = 80,170/x
  3. Step 3: Cross multiply
    147,238x = 203,188.44 × 80,170
  4. Step 4: Simplify right side
    147,238x = 16,289,617,234.80
  5. Step 5: Solve for x
    x = 16,289,617,234.80/147,238
  6. Step 6: Final answer
    x = 110,634.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.