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Finding the Fourth Proportional to 51,755.31, 71,414.31 and 29,090.09

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Solution

The fourth proportional to 51,755.31, 71,414.31 and 29,090.09 is: 40,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,755.31 : 71,414.31 = 29,090.09 : x
  2. Step 2: Convert to fraction form
    51,755.31/71,414.31 = 29,090.09/x
  3. Step 3: Cross multiply
    51,755.31x = 71,414.31 × 29,090.09
  4. Step 4: Simplify right side
    51,755.31x = 2,077,448,705.19
  5. Step 5: Solve for x
    x = 2,077,448,705.19/51,755.31
  6. Step 6: Final answer
    x = 40,139.82

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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.