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Finding the Fourth Proportional to 57,834, 79,807.68 and 41,938.56

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Solution

The fourth proportional to 57,834, 79,807.68 and 41,938.56 is: 57,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 79,807.68 = 41,938.56 : x
  2. Step 2: Convert to fraction form
    57,834/79,807.68 = 41,938.56/x
  3. Step 3: Cross multiply
    57,834x = 79,807.68 × 41,938.56
  4. Step 4: Simplify right side
    57,834x = 3,347,019,176.14
  5. Step 5: Solve for x
    x = 3,347,019,176.14/57,834
  6. Step 6: Final answer
    x = 57,872.86

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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.