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Finding the Fourth Proportional to 57,896.31, 79,896.91 and 31,400.31

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Solution

The fourth proportional to 57,896.31, 79,896.91 and 31,400.31 is: 43,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896.31 : 79,896.91 = 31,400.31 : x
  2. Step 2: Convert to fraction form
    57,896.31/79,896.91 = 31,400.31/x
  3. Step 3: Cross multiply
    57,896.31x = 79,896.91 × 31,400.31
  4. Step 4: Simplify right side
    57,896.31x = 2,508,787,742.04
  5. Step 5: Solve for x
    x = 2,508,787,742.04/57,896.31
  6. Step 6: Final answer
    x = 43,332.43

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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.