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Finding the Fourth Proportional to 222,564, 307,138.35 and 121,959.84

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Solution

The fourth proportional to 222,564, 307,138.35 and 121,959.84 is: 168,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,564 : 307,138.35 = 121,959.84 : x
  2. Step 2: Convert to fraction form
    222,564/307,138.35 = 121,959.84/x
  3. Step 3: Cross multiply
    222,564x = 307,138.35 × 121,959.84
  4. Step 4: Simplify right side
    222,564x = 37,458,544,023.86
  5. Step 5: Solve for x
    x = 37,458,544,023.86/222,564
  6. Step 6: Final answer
    x = 168,304.60

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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.