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Finding the Fourth Proportional to 180,081.36, 269,906.40 and 83,889

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Solution

The fourth proportional to 180,081.36, 269,906.40 and 83,889 is: 125,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,081.36 : 269,906.40 = 83,889 : x
  2. Step 2: Convert to fraction form
    180,081.36/269,906.40 = 83,889/x
  3. Step 3: Cross multiply
    180,081.36x = 269,906.40 × 83,889
  4. Step 4: Simplify right side
    180,081.36x = 22,642,177,989.60
  5. Step 5: Solve for x
    x = 22,642,177,989.60/180,081.36
  6. Step 6: Final answer
    x = 125,733.05

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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.