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Finding the Fourth Proportional to 281,381.88, 422,027.22 and 103,972.44

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Solution

The fourth proportional to 281,381.88, 422,027.22 and 103,972.44 is: 155,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,381.88 : 422,027.22 = 103,972.44 : x
  2. Step 2: Convert to fraction form
    281,381.88/422,027.22 = 103,972.44/x
  3. Step 3: Cross multiply
    281,381.88x = 422,027.22 × 103,972.44
  4. Step 4: Simplify right side
    281,381.88x = 43,879,199,809.82
  5. Step 5: Solve for x
    x = 43,879,199,809.82/281,381.88
  6. Step 6: Final answer
    x = 155,941.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.