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Finding the Fourth Proportional to 192,902.32, 266,181.24 and 108,005.68

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Solution

The fourth proportional to 192,902.32, 266,181.24 and 108,005.68 is: 149,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,902.32 : 266,181.24 = 108,005.68 : x
  2. Step 2: Convert to fraction form
    192,902.32/266,181.24 = 108,005.68/x
  3. Step 3: Cross multiply
    192,902.32x = 266,181.24 × 108,005.68
  4. Step 4: Simplify right side
    192,902.32x = 28,749,085,829.44
  5. Step 5: Solve for x
    x = 28,749,085,829.44/192,902.32
  6. Step 6: Final answer
    x = 149,034.42

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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.