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Finding the Fourth Proportional to 203,968.32, 305,906.28 and 77,563.50

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Solution

The fourth proportional to 203,968.32, 305,906.28 and 77,563.50 is: 116,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.32 : 305,906.28 = 77,563.50 : x
  2. Step 2: Convert to fraction form
    203,968.32/305,906.28 = 77,563.50/x
  3. Step 3: Cross multiply
    203,968.32x = 305,906.28 × 77,563.50
  4. Step 4: Simplify right side
    203,968.32x = 23,727,161,748.78
  5. Step 5: Solve for x
    x = 23,727,161,748.78/203,968.32
  6. Step 6: Final answer
    x = 116,327.68

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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.