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Finding the Fourth Proportional to 222,884, 307,585.32 and 122,282

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Solution

The fourth proportional to 222,884, 307,585.32 and 122,282 is: 168,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,884 : 307,585.32 = 122,282 : x
  2. Step 2: Convert to fraction form
    222,884/307,585.32 = 122,282/x
  3. Step 3: Cross multiply
    222,884x = 307,585.32 × 122,282
  4. Step 4: Simplify right side
    222,884x = 37,612,148,100.24
  5. Step 5: Solve for x
    x = 37,612,148,100.24/222,884
  6. Step 6: Final answer
    x = 168,752.12

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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.