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Finding the Fourth Proportional to 223,963.34, 309,069.36 and 123,361.34

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Solution

The fourth proportional to 223,963.34, 309,069.36 and 123,361.34 is: 170,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,963.34 : 309,069.36 = 123,361.34 : x
  2. Step 2: Convert to fraction form
    223,963.34/309,069.36 = 123,361.34/x
  3. Step 3: Cross multiply
    223,963.34x = 309,069.36 × 123,361.34
  4. Step 4: Simplify right side
    223,963.34x = 38,127,208,857.20
  5. Step 5: Solve for x
    x = 38,127,208,857.20/223,963.34
  6. Step 6: Final answer
    x = 170,238.62

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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.