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Finding the Fourth Proportional to 203,153.40, 305,025.34 and 150,009.30

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Solution

The fourth proportional to 203,153.40, 305,025.34 and 150,009.30 is: 225,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,153.40 : 305,025.34 = 150,009.30 : x
  2. Step 2: Convert to fraction form
    203,153.40/305,025.34 = 150,009.30/x
  3. Step 3: Cross multiply
    203,153.40x = 305,025.34 × 150,009.30
  4. Step 4: Simplify right side
    203,153.40x = 45,756,637,735.66
  5. Step 5: Solve for x
    x = 45,756,637,735.66/203,153.40
  6. Step 6: Final answer
    x = 225,231.96

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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.