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Finding the Fourth Proportional to 57,774, 79,728.24 and 31,278

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Solution

The fourth proportional to 57,774, 79,728.24 and 31,278 is: 43,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774 : 79,728.24 = 31,278 : x
  2. Step 2: Convert to fraction form
    57,774/79,728.24 = 31,278/x
  3. Step 3: Cross multiply
    57,774x = 79,728.24 × 31,278
  4. Step 4: Simplify right side
    57,774x = 2,493,739,890.72
  5. Step 5: Solve for x
    x = 2,493,739,890.72/57,774
  6. Step 6: Final answer
    x = 43,163.70

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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.