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Finding the Fourth Proportional to 57,795, 79,757.19 and 31,299

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Solution

The fourth proportional to 57,795, 79,757.19 and 31,299 is: 43,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,795 : 79,757.19 = 31,299 : x
  2. Step 2: Convert to fraction form
    57,795/79,757.19 = 31,299/x
  3. Step 3: Cross multiply
    57,795x = 79,757.19 × 31,299
  4. Step 4: Simplify right side
    57,795x = 2,496,320,289.81
  5. Step 5: Solve for x
    x = 2,496,320,289.81/57,795
  6. Step 6: Final answer
    x = 43,192.67

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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.