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Finding the Fourth Proportional to 225,844, 338,766 and 78,100

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Solution

The fourth proportional to 225,844, 338,766 and 78,100 is: 117,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,844 : 338,766 = 78,100 : x
  2. Step 2: Convert to fraction form
    225,844/338,766 = 78,100/x
  3. Step 3: Cross multiply
    225,844x = 338,766 × 78,100
  4. Step 4: Simplify right side
    225,844x = 26,457,624,600
  5. Step 5: Solve for x
    x = 26,457,624,600/225,844
  6. Step 6: Final answer
    x = 117,150

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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.