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Finding the Fourth Proportional to 45,851.42, 68,777.36 and 20,874

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Solution

The fourth proportional to 45,851.42, 68,777.36 and 20,874 is: 31,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851.42 : 68,777.36 = 20,874 : x
  2. Step 2: Convert to fraction form
    45,851.42/68,777.36 = 20,874/x
  3. Step 3: Cross multiply
    45,851.42x = 68,777.36 × 20,874
  4. Step 4: Simplify right side
    45,851.42x = 1,435,658,612.64
  5. Step 5: Solve for x
    x = 1,435,658,612.64/45,851.42
  6. Step 6: Final answer
    x = 31,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.