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Finding the Fourth Proportional to 57,839, 79,817.94 and 31,343

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Solution

The fourth proportional to 57,839, 79,817.94 and 31,343 is: 43,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,839 : 79,817.94 = 31,343 : x
  2. Step 2: Convert to fraction form
    57,839/79,817.94 = 31,343/x
  3. Step 3: Cross multiply
    57,839x = 79,817.94 × 31,343
  4. Step 4: Simplify right side
    57,839x = 2,501,733,693.42
  5. Step 5: Solve for x
    x = 2,501,733,693.42/57,839
  6. Step 6: Final answer
    x = 43,253.41

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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.