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Finding the Fourth Proportional to 273,028, 409,542 and 76,036

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Solution

The fourth proportional to 273,028, 409,542 and 76,036 is: 114,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,028 : 409,542 = 76,036 : x
  2. Step 2: Convert to fraction form
    273,028/409,542 = 76,036/x
  3. Step 3: Cross multiply
    273,028x = 409,542 × 76,036
  4. Step 4: Simplify right side
    273,028x = 31,139,935,512
  5. Step 5: Solve for x
    x = 31,139,935,512/273,028
  6. Step 6: Final answer
    x = 114,054

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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.