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Finding the Fourth Proportional to 50,447, 69,619.02 and 28,091

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Solution

The fourth proportional to 50,447, 69,619.02 and 28,091 is: 38,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447 : 69,619.02 = 28,091 : x
  2. Step 2: Convert to fraction form
    50,447/69,619.02 = 28,091/x
  3. Step 3: Cross multiply
    50,447x = 69,619.02 × 28,091
  4. Step 4: Simplify right side
    50,447x = 1,955,667,890.82
  5. Step 5: Solve for x
    x = 1,955,667,890.82/50,447
  6. Step 6: Final answer
    x = 38,766.78

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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.