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Finding the Fourth Proportional to 69,243.25, 103,823.31 and 31,756.36

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Solution

The fourth proportional to 69,243.25, 103,823.31 and 31,756.36 is: 47,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,243.25 : 103,823.31 = 31,756.36 : x
  2. Step 2: Convert to fraction form
    69,243.25/103,823.31 = 31,756.36/x
  3. Step 3: Cross multiply
    69,243.25x = 103,823.31 × 31,756.36
  4. Step 4: Simplify right side
    69,243.25x = 3,297,050,408.75
  5. Step 5: Solve for x
    x = 3,297,050,408.75/69,243.25
  6. Step 6: Final answer
    x = 47,615.48

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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.