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Finding the Fourth Proportional to 50,643.90, 69,890.31 and 31,791.42

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Solution

The fourth proportional to 50,643.90, 69,890.31 and 31,791.42 is: 43,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.90 : 69,890.31 = 31,791.42 : x
  2. Step 2: Convert to fraction form
    50,643.90/69,890.31 = 31,791.42/x
  3. Step 3: Cross multiply
    50,643.90x = 69,890.31 × 31,791.42
  4. Step 4: Simplify right side
    50,643.90x = 2,221,912,199.14
  5. Step 5: Solve for x
    x = 2,221,912,199.14/50,643.90
  6. Step 6: Final answer
    x = 43,873.24

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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.