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Finding the Fourth Proportional to 275,114.64, 412,662.22 and 75,431.82

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Solution

The fourth proportional to 275,114.64, 412,662.22 and 75,431.82 is: 113,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,114.64 : 412,662.22 = 75,431.82 : x
  2. Step 2: Convert to fraction form
    275,114.64/412,662.22 = 75,431.82/x
  3. Step 3: Cross multiply
    275,114.64x = 412,662.22 × 75,431.82
  4. Step 4: Simplify right side
    275,114.64x = 31,127,862,299.84
  5. Step 5: Solve for x
    x = 31,127,862,299.84/275,114.64
  6. Step 6: Final answer
    x = 113,145.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.