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Finding the Fourth Proportional to 281,606.40, 422,409.60 and 81,933.30

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Solution

The fourth proportional to 281,606.40, 422,409.60 and 81,933.30 is: 122,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,606.40 : 422,409.60 = 81,933.30 : x
  2. Step 2: Convert to fraction form
    281,606.40/422,409.60 = 81,933.30/x
  3. Step 3: Cross multiply
    281,606.40x = 422,409.60 × 81,933.30
  4. Step 4: Simplify right side
    281,606.40x = 34,609,412,479.68
  5. Step 5: Solve for x
    x = 34,609,412,479.68/281,606.40
  6. Step 6: Final answer
    x = 122,899.95

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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.