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Finding the Fourth Proportional to 222,258.36, 306,713.37 and 126,766.65

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Solution

The fourth proportional to 222,258.36, 306,713.37 and 126,766.65 is: 174,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,258.36 : 306,713.37 = 126,766.65 : x
  2. Step 2: Convert to fraction form
    222,258.36/306,713.37 = 126,766.65/x
  3. Step 3: Cross multiply
    222,258.36x = 306,713.37 × 126,766.65
  4. Step 4: Simplify right side
    222,258.36x = 38,881,026,425.11
  5. Step 5: Solve for x
    x = 38,881,026,425.11/222,258.36
  6. Step 6: Final answer
    x = 174,936.17

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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.