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Finding the Fourth Proportional to 218,753.82, 301,894.47 and 121,968.54

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Solution

The fourth proportional to 218,753.82, 301,894.47 and 121,968.54 is: 168,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,753.82 : 301,894.47 = 121,968.54 : x
  2. Step 2: Convert to fraction form
    218,753.82/301,894.47 = 121,968.54/x
  3. Step 3: Cross multiply
    218,753.82x = 301,894.47 × 121,968.54
  4. Step 4: Simplify right side
    218,753.82x = 36,821,627,739.97
  5. Step 5: Solve for x
    x = 36,821,627,739.97/218,753.82
  6. Step 6: Final answer
    x = 168,324.50

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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.