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Finding the Fourth Proportional to 203,389.74, 305,049.96 and 53,631.54

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Solution

The fourth proportional to 203,389.74, 305,049.96 and 53,631.54 is: 80,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,389.74 : 305,049.96 = 53,631.54 : x
  2. Step 2: Convert to fraction form
    203,389.74/305,049.96 = 53,631.54/x
  3. Step 3: Cross multiply
    203,389.74x = 305,049.96 × 53,631.54
  4. Step 4: Simplify right side
    203,389.74x = 16,360,299,131.74
  5. Step 5: Solve for x
    x = 16,360,299,131.74/203,389.74
  6. Step 6: Final answer
    x = 80,438.17

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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.