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Finding the Fourth Proportional to 166,619, 230,039.52 and 102,992.96

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Solution

The fourth proportional to 166,619, 230,039.52 and 102,992.96 is: 142,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,619 : 230,039.52 = 102,992.96 : x
  2. Step 2: Convert to fraction form
    166,619/230,039.52 = 102,992.96/x
  3. Step 3: Cross multiply
    166,619x = 230,039.52 × 102,992.96
  4. Step 4: Simplify right side
    166,619x = 23,692,451,081.78
  5. Step 5: Solve for x
    x = 23,692,451,081.78/166,619
  6. Step 6: Final answer
    x = 142,195.37

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1.5x scale

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.