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Finding the Fourth Proportional to 222,780, 307,436.40 and 122,178

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Solution

The fourth proportional to 222,780, 307,436.40 and 122,178 is: 168,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,780 : 307,436.40 = 122,178 : x
  2. Step 2: Convert to fraction form
    222,780/307,436.40 = 122,178/x
  3. Step 3: Cross multiply
    222,780x = 307,436.40 × 122,178
  4. Step 4: Simplify right side
    222,780x = 37,561,964,479.20
  5. Step 5: Solve for x
    x = 37,561,964,479.20/222,780
  6. Step 6: Final answer
    x = 168,605.64

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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.