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Finding the Fourth Proportional to 147,980, 204,212.40 and 80,912

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Solution

The fourth proportional to 147,980, 204,212.40 and 80,912 is: 111,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,980 : 204,212.40 = 80,912 : x
  2. Step 2: Convert to fraction form
    147,980/204,212.40 = 80,912/x
  3. Step 3: Cross multiply
    147,980x = 204,212.40 × 80,912
  4. Step 4: Simplify right side
    147,980x = 16,523,233,708.80
  5. Step 5: Solve for x
    x = 16,523,233,708.80/147,980
  6. Step 6: Final answer
    x = 111,658.56

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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.