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Finding the Fourth Proportional to 256,161, 384,243.66 and 89,949

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Solution

The fourth proportional to 256,161, 384,243.66 and 89,949 is: 134,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,161 : 384,243.66 = 89,949 : x
  2. Step 2: Convert to fraction form
    256,161/384,243.66 = 89,949/x
  3. Step 3: Cross multiply
    256,161x = 384,243.66 × 89,949
  4. Step 4: Simplify right side
    256,161x = 34,562,332,973.34
  5. Step 5: Solve for x
    x = 34,562,332,973.34/256,161
  6. Step 6: Final answer
    x = 134,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.