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Finding the Fourth Proportional to 256,157, 384,237.66 and 89,945

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Solution

The fourth proportional to 256,157, 384,237.66 and 89,945 is: 134,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,157 : 384,237.66 = 89,945 : x
  2. Step 2: Convert to fraction form
    256,157/384,237.66 = 89,945/x
  3. Step 3: Cross multiply
    256,157x = 384,237.66 × 89,945
  4. Step 4: Simplify right side
    256,157x = 34,560,256,328.70
  5. Step 5: Solve for x
    x = 34,560,256,328.70/256,157
  6. Step 6: Final answer
    x = 134,918.26

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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.