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Finding the Fourth Proportional to 215,735.72, 323,749.38 and 75,495.56

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Solution

The fourth proportional to 215,735.72, 323,749.38 and 75,495.56 is: 113,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,735.72 : 323,749.38 = 75,495.56 : x
  2. Step 2: Convert to fraction form
    215,735.72/323,749.38 = 75,495.56/x
  3. Step 3: Cross multiply
    215,735.72x = 323,749.38 × 75,495.56
  4. Step 4: Simplify right side
    215,735.72x = 24,441,639,124.01
  5. Step 5: Solve for x
    x = 24,441,639,124.01/215,735.72
  6. Step 6: Final answer
    x = 113,294.36

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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.