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Finding the Fourth Proportional to 57,949, 79,969.62 and 31,453

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Solution

The fourth proportional to 57,949, 79,969.62 and 31,453 is: 43,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,949 : 79,969.62 = 31,453 : x
  2. Step 2: Convert to fraction form
    57,949/79,969.62 = 31,453/x
  3. Step 3: Cross multiply
    57,949x = 79,969.62 × 31,453
  4. Step 4: Simplify right side
    57,949x = 2,515,284,457.86
  5. Step 5: Solve for x
    x = 2,515,284,457.86/57,949
  6. Step 6: Final answer
    x = 43,405.14

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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.