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Finding the Fourth Proportional to 57,709.92, 79,639.92 and 31,213.92

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Solution

The fourth proportional to 57,709.92, 79,639.92 and 31,213.92 is: 43,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.92 : 79,639.92 = 31,213.92 : x
  2. Step 2: Convert to fraction form
    57,709.92/79,639.92 = 31,213.92/x
  3. Step 3: Cross multiply
    57,709.92x = 79,639.92 × 31,213.92
  4. Step 4: Simplify right side
    57,709.92x = 2,485,874,091.69
  5. Step 5: Solve for x
    x = 2,485,874,091.69/57,709.92
  6. Step 6: Final answer
    x = 43,075.33

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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.