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Finding the Fourth Proportional to 189,255.78, 261,173.22 and 103,214.94

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Solution

The fourth proportional to 189,255.78, 261,173.22 and 103,214.94 is: 142,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,255.78 : 261,173.22 = 103,214.94 : x
  2. Step 2: Convert to fraction form
    189,255.78/261,173.22 = 103,214.94/x
  3. Step 3: Cross multiply
    189,255.78x = 261,173.22 × 103,214.94
  4. Step 4: Simplify right side
    189,255.78x = 26,956,978,231.91
  5. Step 5: Solve for x
    x = 26,956,978,231.91/189,255.78
  6. Step 6: Final answer
    x = 142,436.75

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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.