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Finding the Fourth Proportional to 215,507.31, 323,311.51 and 65,747.54

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Solution

The fourth proportional to 215,507.31, 323,311.51 and 65,747.54 is: 98,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,507.31 : 323,311.51 = 65,747.54 : x
  2. Step 2: Convert to fraction form
    215,507.31/323,311.51 = 65,747.54/x
  3. Step 3: Cross multiply
    215,507.31x = 323,311.51 × 65,747.54
  4. Step 4: Simplify right side
    215,507.31x = 21,256,936,107.45
  5. Step 5: Solve for x
    x = 21,256,936,107.45/215,507.31
  6. Step 6: Final answer
    x = 98,636.73

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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.