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Finding the Fourth Proportional to 87,704.56, 121,036.44 and 49,978

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Solution

The fourth proportional to 87,704.56, 121,036.44 and 49,978 is: 68,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,704.56 : 121,036.44 = 49,978 : x
  2. Step 2: Convert to fraction form
    87,704.56/121,036.44 = 49,978/x
  3. Step 3: Cross multiply
    87,704.56x = 121,036.44 × 49,978
  4. Step 4: Simplify right side
    87,704.56x = 6,049,159,198.32
  5. Step 5: Solve for x
    x = 6,049,159,198.32/87,704.56
  6. Step 6: Final answer
    x = 68,972.00

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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.