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Finding the Fourth Proportional to 203,223, 280,443.96 and 112,576.96

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Solution

The fourth proportional to 203,223, 280,443.96 and 112,576.96 is: 155,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,223 : 280,443.96 = 112,576.96 : x
  2. Step 2: Convert to fraction form
    203,223/280,443.96 = 112,576.96/x
  3. Step 3: Cross multiply
    203,223x = 280,443.96 × 112,576.96
  4. Step 4: Simplify right side
    203,223x = 31,571,528,467.16
  5. Step 5: Solve for x
    x = 31,571,528,467.16/203,223
  6. Step 6: Final answer
    x = 155,354.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.