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Finding the Fourth Proportional to 223,771.28, 308,794.82 and 121,796.87

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Solution

The fourth proportional to 223,771.28, 308,794.82 and 121,796.87 is: 168,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,771.28 : 308,794.82 = 121,796.87 : x
  2. Step 2: Convert to fraction form
    223,771.28/308,794.82 = 121,796.87/x
  3. Step 3: Cross multiply
    223,771.28x = 308,794.82 × 121,796.87
  4. Step 4: Simplify right side
    223,771.28x = 37,610,240,395.26
  5. Step 5: Solve for x
    x = 37,610,240,395.26/223,771.28
  6. Step 6: Final answer
    x = 168,074.48

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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.