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Finding the Fourth Proportional to 69,678, 96,157.40 and 37,846.89

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Solution

The fourth proportional to 69,678, 96,157.40 and 37,846.89 is: 52,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,678 : 96,157.40 = 37,846.89 : x
  2. Step 2: Convert to fraction form
    69,678/96,157.40 = 37,846.89/x
  3. Step 3: Cross multiply
    69,678x = 96,157.40 × 37,846.89
  4. Step 4: Simplify right side
    69,678x = 3,639,258,351.25
  5. Step 5: Solve for x
    x = 3,639,258,351.25/69,678
  6. Step 6: Final answer
    x = 52,229.66

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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.