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Finding the Fourth Proportional to 222,149, 306,565.62 and 121,547

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Solution

The fourth proportional to 222,149, 306,565.62 and 121,547 is: 167,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,149 : 306,565.62 = 121,547 : x
  2. Step 2: Convert to fraction form
    222,149/306,565.62 = 121,547/x
  3. Step 3: Cross multiply
    222,149x = 306,565.62 × 121,547
  4. Step 4: Simplify right side
    222,149x = 37,262,131,414.14
  5. Step 5: Solve for x
    x = 37,262,131,414.14/222,149
  6. Step 6: Final answer
    x = 167,734.86

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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.