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Finding the Fourth Proportional to 69,115.99, 103,673.30 and 31,665.44

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Solution

The fourth proportional to 69,115.99, 103,673.30 and 31,665.44 is: 47,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115.99 : 103,673.30 = 31,665.44 : x
  2. Step 2: Convert to fraction form
    69,115.99/103,673.30 = 31,665.44/x
  3. Step 3: Cross multiply
    69,115.99x = 103,673.30 × 31,665.44
  4. Step 4: Simplify right side
    69,115.99x = 3,282,860,660.75
  5. Step 5: Solve for x
    x = 3,282,860,660.75/69,115.99
  6. Step 6: Final answer
    x = 47,497.85

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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.