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Finding the Fourth Proportional to 203,414.70, 305,122.05 and 140,429.10

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Solution

The fourth proportional to 203,414.70, 305,122.05 and 140,429.10 is: 210,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.70 : 305,122.05 = 140,429.10 : x
  2. Step 2: Convert to fraction form
    203,414.70/305,122.05 = 140,429.10/x
  3. Step 3: Cross multiply
    203,414.70x = 305,122.05 × 140,429.10
  4. Step 4: Simplify right side
    203,414.70x = 42,848,014,871.66
  5. Step 5: Solve for x
    x = 42,848,014,871.66/203,414.70
  6. Step 6: Final answer
    x = 210,643.65

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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.