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Finding the Fourth Proportional to 203,433.70, 305,150.55 and 140,448.10

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Solution

The fourth proportional to 203,433.70, 305,150.55 and 140,448.10 is: 210,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.70 : 305,150.55 = 140,448.10 : x
  2. Step 2: Convert to fraction form
    203,433.70/305,150.55 = 140,448.10/x
  3. Step 3: Cross multiply
    203,433.70x = 305,150.55 × 140,448.10
  4. Step 4: Simplify right side
    203,433.70x = 42,857,814,961.46
  5. Step 5: Solve for x
    x = 42,857,814,961.46/203,433.70
  6. Step 6: Final answer
    x = 210,672.15

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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.