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Finding the Fourth Proportional to 203,754.70, 305,698.46 and 102,500.49

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Solution

The fourth proportional to 203,754.70, 305,698.46 and 102,500.49 is: 153,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,754.70 : 305,698.46 = 102,500.49 : x
  2. Step 2: Convert to fraction form
    203,754.70/305,698.46 = 102,500.49/x
  3. Step 3: Cross multiply
    203,754.70x = 305,698.46 × 102,500.49
  4. Step 4: Simplify right side
    203,754.70x = 31,334,241,942.25
  5. Step 5: Solve for x
    x = 31,334,241,942.25/203,754.70
  6. Step 6: Final answer
    x = 153,784.14

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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.