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Finding the Fourth Proportional to 57,006, 78,673.13 and 33,131.13

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Solution

The fourth proportional to 57,006, 78,673.13 and 33,131.13 is: 45,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006 : 78,673.13 = 33,131.13 : x
  2. Step 2: Convert to fraction form
    57,006/78,673.13 = 33,131.13/x
  3. Step 3: Cross multiply
    57,006x = 78,673.13 × 33,131.13
  4. Step 4: Simplify right side
    57,006x = 2,606,529,531.88
  5. Step 5: Solve for x
    x = 2,606,529,531.88/57,006
  6. Step 6: Final answer
    x = 45,723.78

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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.