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Finding the Fourth Proportional to 50,900, 70,242 and 28,544

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Solution

The fourth proportional to 50,900, 70,242 and 28,544 is: 39,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,900 : 70,242 = 28,544 : x
  2. Step 2: Convert to fraction form
    50,900/70,242 = 28,544/x
  3. Step 3: Cross multiply
    50,900x = 70,242 × 28,544
  4. Step 4: Simplify right side
    50,900x = 2,004,987,648
  5. Step 5: Solve for x
    x = 2,004,987,648/50,900
  6. Step 6: Final answer
    x = 39,390.72

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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.