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Finding the Fourth Proportional to 203,634.56, 305,378.64 and 70,478.72

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Solution

The fourth proportional to 203,634.56, 305,378.64 and 70,478.72 is: 105,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,634.56 : 305,378.64 = 70,478.72 : x
  2. Step 2: Convert to fraction form
    203,634.56/305,378.64 = 70,478.72/x
  3. Step 3: Cross multiply
    203,634.56x = 305,378.64 × 70,478.72
  4. Step 4: Simplify right side
    203,634.56x = 21,522,695,662.54
  5. Step 5: Solve for x
    x = 21,522,695,662.54/203,634.56
  6. Step 6: Final answer
    x = 105,692.75

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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.