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Finding the Fourth Proportional to 57,794, 79,755.81 and 31,298

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Solution

The fourth proportional to 57,794, 79,755.81 and 31,298 is: 43,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,794 : 79,755.81 = 31,298 : x
  2. Step 2: Convert to fraction form
    57,794/79,755.81 = 31,298/x
  3. Step 3: Cross multiply
    57,794x = 79,755.81 × 31,298
  4. Step 4: Simplify right side
    57,794x = 2,496,197,341.38
  5. Step 5: Solve for x
    x = 2,496,197,341.38/57,794
  6. Step 6: Final answer
    x = 43,191.29

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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.