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Finding the Fourth Proportional to 281,391.84, 422,093.16 and 103,807.44

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Solution

The fourth proportional to 281,391.84, 422,093.16 and 103,807.44 is: 155,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,391.84 : 422,093.16 = 103,807.44 : x
  2. Step 2: Convert to fraction form
    281,391.84/422,093.16 = 103,807.44/x
  3. Step 3: Cross multiply
    281,391.84x = 422,093.16 × 103,807.44
  4. Step 4: Simplify right side
    281,391.84x = 43,816,410,381.11
  5. Step 5: Solve for x
    x = 43,816,410,381.11/281,391.84
  6. Step 6: Final answer
    x = 155,713.15

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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.