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Finding the Fourth Proportional to 222,656.32, 307,278.08 and 127,194

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Solution

The fourth proportional to 222,656.32, 307,278.08 and 127,194 is: 175,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,656.32 : 307,278.08 = 127,194 : x
  2. Step 2: Convert to fraction form
    222,656.32/307,278.08 = 127,194/x
  3. Step 3: Cross multiply
    222,656.32x = 307,278.08 × 127,194
  4. Step 4: Simplify right side
    222,656.32x = 39,083,928,107.52
  5. Step 5: Solve for x
    x = 39,083,928,107.52/222,656.32
  6. Step 6: Final answer
    x = 175,534.78

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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.