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Finding the Fourth Proportional to 57,183.89, 78,916.92 and 31,689.72

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Solution

The fourth proportional to 57,183.89, 78,916.92 and 31,689.72 is: 43,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,183.89 : 78,916.92 = 31,689.72 : x
  2. Step 2: Convert to fraction form
    57,183.89/78,916.92 = 31,689.72/x
  3. Step 3: Cross multiply
    57,183.89x = 78,916.92 × 31,689.72
  4. Step 4: Simplify right side
    57,183.89x = 2,500,855,098.06
  5. Step 5: Solve for x
    x = 2,500,855,098.06/57,183.89
  6. Step 6: Final answer
    x = 43,733.56

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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.