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Finding the Fourth Proportional to 57,369.78, 79,172.46 and 31,878

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Solution

The fourth proportional to 57,369.78, 79,172.46 and 31,878 is: 43,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,369.78 : 79,172.46 = 31,878 : x
  2. Step 2: Convert to fraction form
    57,369.78/79,172.46 = 31,878/x
  3. Step 3: Cross multiply
    57,369.78x = 79,172.46 × 31,878
  4. Step 4: Simplify right side
    57,369.78x = 2,523,859,679.88
  5. Step 5: Solve for x
    x = 2,523,859,679.88/57,369.78
  6. Step 6: Final answer
    x = 43,992.84

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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.