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Finding the Fourth Proportional to 47,792.77, 71,676.85 and 19,720.80

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Solution

The fourth proportional to 47,792.77, 71,676.85 and 19,720.80 is: 29,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.77 : 71,676.85 = 19,720.80 : x
  2. Step 2: Convert to fraction form
    47,792.77/71,676.85 = 19,720.80/x
  3. Step 3: Cross multiply
    47,792.77x = 71,676.85 × 19,720.80
  4. Step 4: Simplify right side
    47,792.77x = 1,413,524,811.15
  5. Step 5: Solve for x
    x = 1,413,524,811.15/47,792.77
  6. Step 6: Final answer
    x = 29,576.12

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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.