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Finding the Fourth Proportional to 49,850.42, 68,776.56 and 28,338

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Solution

The fourth proportional to 49,850.42, 68,776.56 and 28,338 is: 39,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,850.42 : 68,776.56 = 28,338 : x
  2. Step 2: Convert to fraction form
    49,850.42/68,776.56 = 28,338/x
  3. Step 3: Cross multiply
    49,850.42x = 68,776.56 × 28,338
  4. Step 4: Simplify right side
    49,850.42x = 1,948,990,157.28
  5. Step 5: Solve for x
    x = 1,948,990,157.28/49,850.42
  6. Step 6: Final answer
    x = 39,096.77

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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.