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Finding the Fourth Proportional to 203,913.44, 305,800.80 and 77,523.20

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Solution

The fourth proportional to 203,913.44, 305,800.80 and 77,523.20 is: 116,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913.44 : 305,800.80 = 77,523.20 : x
  2. Step 2: Convert to fraction form
    203,913.44/305,800.80 = 77,523.20/x
  3. Step 3: Cross multiply
    203,913.44x = 305,800.80 × 77,523.20
  4. Step 4: Simplify right side
    203,913.44x = 23,706,656,578.56
  5. Step 5: Solve for x
    x = 23,706,656,578.56/203,913.44
  6. Step 6: Final answer
    x = 116,258.43

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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.