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Finding the Fourth Proportional to 203,832.90, 305,721.72 and 77,505

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Solution

The fourth proportional to 203,832.90, 305,721.72 and 77,505 is: 116,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832.90 : 305,721.72 = 77,505 : x
  2. Step 2: Convert to fraction form
    203,832.90/305,721.72 = 77,505/x
  3. Step 3: Cross multiply
    203,832.90x = 305,721.72 × 77,505
  4. Step 4: Simplify right side
    203,832.90x = 23,694,961,908.60
  5. Step 5: Solve for x
    x = 23,694,961,908.60/203,832.90
  6. Step 6: Final answer
    x = 116,246.99

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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.