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Finding the Fourth Proportional to 281,583.39, 422,446.64 and 81,903.77

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Solution

The fourth proportional to 281,583.39, 422,446.64 and 81,903.77 is: 122,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,583.39 : 422,446.64 = 81,903.77 : x
  2. Step 2: Convert to fraction form
    281,583.39/422,446.64 = 81,903.77/x
  3. Step 3: Cross multiply
    281,583.39x = 422,446.64 × 81,903.77
  4. Step 4: Simplify right side
    281,583.39x = 34,599,972,439.83
  5. Step 5: Solve for x
    x = 34,599,972,439.83/281,583.39
  6. Step 6: Final answer
    x = 122,876.47

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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.