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Finding the Fourth Proportional to 87,576.75, 120,856.05 and 49,851

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Solution

The fourth proportional to 87,576.75, 120,856.05 and 49,851 is: 68,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,576.75 : 120,856.05 = 49,851 : x
  2. Step 2: Convert to fraction form
    87,576.75/120,856.05 = 49,851/x
  3. Step 3: Cross multiply
    87,576.75x = 120,856.05 × 49,851
  4. Step 4: Simplify right side
    87,576.75x = 6,024,794,948.55
  5. Step 5: Solve for x
    x = 6,024,794,948.55/87,576.75
  6. Step 6: Final answer
    x = 68,794.46

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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.