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Finding the Fourth Proportional to 50,678, 69,937.80 and 28,322

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Solution

The fourth proportional to 50,678, 69,937.80 and 28,322 is: 39,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678 : 69,937.80 = 28,322 : x
  2. Step 2: Convert to fraction form
    50,678/69,937.80 = 28,322/x
  3. Step 3: Cross multiply
    50,678x = 69,937.80 × 28,322
  4. Step 4: Simplify right side
    50,678x = 1,980,778,371.60
  5. Step 5: Solve for x
    x = 1,980,778,371.60/50,678
  6. Step 6: Final answer
    x = 39,085.57

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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.