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Finding the Fourth Proportional to 189,704.72, 261,789.32 and 103,661.80

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Solution

The fourth proportional to 189,704.72, 261,789.32 and 103,661.80 is: 143,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704.72 : 261,789.32 = 103,661.80 : x
  2. Step 2: Convert to fraction form
    189,704.72/261,789.32 = 103,661.80/x
  3. Step 3: Cross multiply
    189,704.72x = 261,789.32 × 103,661.80
  4. Step 4: Simplify right side
    189,704.72x = 27,137,552,131.98
  5. Step 5: Solve for x
    x = 27,137,552,131.98/189,704.72
  6. Step 6: Final answer
    x = 143,051.54

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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.