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Finding the Fourth Proportional to 222,298.08, 306,771.20 and 121,696

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Solution

The fourth proportional to 222,298.08, 306,771.20 and 121,696 is: 167,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,298.08 : 306,771.20 = 121,696 : x
  2. Step 2: Convert to fraction form
    222,298.08/306,771.20 = 121,696/x
  3. Step 3: Cross multiply
    222,298.08x = 306,771.20 × 121,696
  4. Step 4: Simplify right side
    222,298.08x = 37,332,827,955.20
  5. Step 5: Solve for x
    x = 37,332,827,955.20/222,298.08
  6. Step 6: Final answer
    x = 167,940.40

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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.