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Finding the Fourth Proportional to 222,114, 306,521.76 and 121,514.16

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Solution

The fourth proportional to 222,114, 306,521.76 and 121,514.16 is: 167,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,114 : 306,521.76 = 121,514.16 : x
  2. Step 2: Convert to fraction form
    222,114/306,521.76 = 121,514.16/x
  3. Step 3: Cross multiply
    222,114x = 306,521.76 × 121,514.16
  4. Step 4: Simplify right side
    222,114x = 37,246,734,188.12
  5. Step 5: Solve for x
    x = 37,246,734,188.12/222,114
  6. Step 6: Final answer
    x = 167,691.97

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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.