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Finding the Fourth Proportional to 65,974.78, 91,044 and 37,676.62

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Solution

The fourth proportional to 65,974.78, 91,044 and 37,676.62 is: 51,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974.78 : 91,044 = 37,676.62 : x
  2. Step 2: Convert to fraction form
    65,974.78/91,044 = 37,676.62/x
  3. Step 3: Cross multiply
    65,974.78x = 91,044 × 37,676.62
  4. Step 4: Simplify right side
    65,974.78x = 3,430,230,191.28
  5. Step 5: Solve for x
    x = 3,430,230,191.28/65,974.78
  6. Step 6: Final answer
    x = 51,993.05

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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.