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Finding the Fourth Proportional to 281,887.66, 422,790.49 and 82,154.43

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Solution

The fourth proportional to 281,887.66, 422,790.49 and 82,154.43 is: 123,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,887.66 : 422,790.49 = 82,154.43 : x
  2. Step 2: Convert to fraction form
    281,887.66/422,790.49 = 82,154.43/x
  3. Step 3: Cross multiply
    281,887.66x = 422,790.49 × 82,154.43
  4. Step 4: Simplify right side
    281,887.66x = 34,734,111,715.37
  5. Step 5: Solve for x
    x = 34,734,111,715.37/281,887.66
  6. Step 6: Final answer
    x = 123,219.70

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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.