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Finding the Fourth Proportional to 222,857, 307,547.52 and 122,255

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Solution

The fourth proportional to 222,857, 307,547.52 and 122,255 is: 168,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,857 : 307,547.52 = 122,255 : x
  2. Step 2: Convert to fraction form
    222,857/307,547.52 = 122,255/x
  3. Step 3: Cross multiply
    222,857x = 307,547.52 × 122,255
  4. Step 4: Simplify right side
    222,857x = 37,599,222,057.60
  5. Step 5: Solve for x
    x = 37,599,222,057.60/222,857
  6. Step 6: Final answer
    x = 168,714.57

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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.