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Finding the Fourth Proportional to 203,541.80, 305,604.30 and 144,638.60

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Solution

The fourth proportional to 203,541.80, 305,604.30 and 144,638.60 is: 217,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,541.80 : 305,604.30 = 144,638.60 : x
  2. Step 2: Convert to fraction form
    203,541.80/305,604.30 = 144,638.60/x
  3. Step 3: Cross multiply
    203,541.80x = 305,604.30 × 144,638.60
  4. Step 4: Simplify right side
    203,541.80x = 44,202,178,105.98
  5. Step 5: Solve for x
    x = 44,202,178,105.98/203,541.80
  6. Step 6: Final answer
    x = 217,165.11

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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.