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Finding the Fourth Proportional to 204,628.40, 306,796.80 and 78,219.80

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Solution

The fourth proportional to 204,628.40, 306,796.80 and 78,219.80 is: 117,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,628.40 : 306,796.80 = 78,219.80 : x
  2. Step 2: Convert to fraction form
    204,628.40/306,796.80 = 78,219.80/x
  3. Step 3: Cross multiply
    204,628.40x = 306,796.80 × 78,219.80
  4. Step 4: Simplify right side
    204,628.40x = 23,997,584,336.64
  5. Step 5: Solve for x
    x = 23,997,584,336.64/204,628.40
  6. Step 6: Final answer
    x = 117,273.97

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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.