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Finding the Fourth Proportional to 222,410.44, 306,929.46 and 121,809.16

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Solution

The fourth proportional to 222,410.44, 306,929.46 and 121,809.16 is: 168,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,410.44 : 306,929.46 = 121,809.16 : x
  2. Step 2: Convert to fraction form
    222,410.44/306,929.46 = 121,809.16/x
  3. Step 3: Cross multiply
    222,410.44x = 306,929.46 × 121,809.16
  4. Step 4: Simplify right side
    222,410.44x = 37,386,819,701.85
  5. Step 5: Solve for x
    x = 37,386,819,701.85/222,410.44
  6. Step 6: Final answer
    x = 168,098.31

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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.