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Finding the Fourth Proportional to 50,567, 69,782.49 and 28,211

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Solution

The fourth proportional to 50,567, 69,782.49 and 28,211 is: 38,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,567 : 69,782.49 = 28,211 : x
  2. Step 2: Convert to fraction form
    50,567/69,782.49 = 28,211/x
  3. Step 3: Cross multiply
    50,567x = 69,782.49 × 28,211
  4. Step 4: Simplify right side
    50,567x = 1,968,633,825.39
  5. Step 5: Solve for x
    x = 1,968,633,825.39/50,567
  6. Step 6: Final answer
    x = 38,931.20

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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.