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Finding the Fourth Proportional to 203,533.94, 305,238.72 and 140,757.50

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Solution

The fourth proportional to 203,533.94, 305,238.72 and 140,757.50 is: 211,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,533.94 : 305,238.72 = 140,757.50 : x
  2. Step 2: Convert to fraction form
    203,533.94/305,238.72 = 140,757.50/x
  3. Step 3: Cross multiply
    203,533.94x = 305,238.72 × 140,757.50
  4. Step 4: Simplify right side
    203,533.94x = 42,964,639,130.40
  5. Step 5: Solve for x
    x = 42,964,639,130.40/203,533.94
  6. Step 6: Final answer
    x = 211,093.24

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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.