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Finding the Fourth Proportional to 222,270.72, 306,742.32 and 121,668.72

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Solution

The fourth proportional to 222,270.72, 306,742.32 and 121,668.72 is: 167,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,270.72 : 306,742.32 = 121,668.72 : x
  2. Step 2: Convert to fraction form
    222,270.72/306,742.32 = 121,668.72/x
  3. Step 3: Cross multiply
    222,270.72x = 306,742.32 × 121,668.72
  4. Step 4: Simplify right side
    222,270.72x = 37,320,945,444.23
  5. Step 5: Solve for x
    x = 37,320,945,444.23/222,270.72
  6. Step 6: Final answer
    x = 167,907.61

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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.