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Finding the Fourth Proportional to 49,770.86, 68,771.16 and 39,781.67

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Solution

The fourth proportional to 49,770.86, 68,771.16 and 39,781.67 is: 54,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770.86 : 68,771.16 = 39,781.67 : x
  2. Step 2: Convert to fraction form
    49,770.86/68,771.16 = 39,781.67/x
  3. Step 3: Cross multiply
    49,770.86x = 68,771.16 × 39,781.67
  4. Step 4: Simplify right side
    49,770.86x = 2,735,831,248.78
  5. Step 5: Solve for x
    x = 2,735,831,248.78/49,770.86
  6. Step 6: Final answer
    x = 54,968.54

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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.