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Finding the Fourth Proportional to 203,576.16, 305,315.02 and 85,336

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Solution

The fourth proportional to 203,576.16, 305,315.02 and 85,336 is: 127,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,576.16 : 305,315.02 = 85,336 : x
  2. Step 2: Convert to fraction form
    203,576.16/305,315.02 = 85,336/x
  3. Step 3: Cross multiply
    203,576.16x = 305,315.02 × 85,336
  4. Step 4: Simplify right side
    203,576.16x = 26,054,362,546.72
  5. Step 5: Solve for x
    x = 26,054,362,546.72/203,576.16
  6. Step 6: Final answer
    x = 127,983.37

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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.