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Finding the Fourth Proportional to 222,297, 306,769.88 and 121,695

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Solution

The fourth proportional to 222,297, 306,769.88 and 121,695 is: 167,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,297 : 306,769.88 = 121,695 : x
  2. Step 2: Convert to fraction form
    222,297/306,769.88 = 121,695/x
  3. Step 3: Cross multiply
    222,297x = 306,769.88 × 121,695
  4. Step 4: Simplify right side
    222,297x = 37,332,359,938.13
  5. Step 5: Solve for x
    x = 37,332,359,938.13/222,297
  6. Step 6: Final answer
    x = 167,939.11

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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.