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Finding the Fourth Proportional to 204,056.20, 305,865.60 and 77,647.60

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Solution

The fourth proportional to 204,056.20, 305,865.60 and 77,647.60 is: 116,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,056.20 : 305,865.60 = 77,647.60 : x
  2. Step 2: Convert to fraction form
    204,056.20/305,865.60 = 77,647.60/x
  3. Step 3: Cross multiply
    204,056.20x = 305,865.60 × 77,647.60
  4. Step 4: Simplify right side
    204,056.20x = 23,749,729,762.56
  5. Step 5: Solve for x
    x = 23,749,729,762.56/204,056.20
  6. Step 6: Final answer
    x = 116,388.18

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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.