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Finding the Fourth Proportional to 50,806, 70,111.34 and 28,144.49

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Solution

The fourth proportional to 50,806, 70,111.34 and 28,144.49 is: 38,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806 : 70,111.34 = 28,144.49 : x
  2. Step 2: Convert to fraction form
    50,806/70,111.34 = 28,144.49/x
  3. Step 3: Cross multiply
    50,806x = 70,111.34 × 28,144.49
  4. Step 4: Simplify right side
    50,806x = 1,973,247,766.79
  5. Step 5: Solve for x
    x = 1,973,247,766.79/50,806
  6. Step 6: Final answer
    x = 38,838.87

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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.