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Finding the Fourth Proportional to 281,548.64, 422,364.14 and 81,843.08

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Solution

The fourth proportional to 281,548.64, 422,364.14 and 81,843.08 is: 122,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,548.64 : 422,364.14 = 81,843.08 : x
  2. Step 2: Convert to fraction form
    281,548.64/422,364.14 = 81,843.08/x
  3. Step 3: Cross multiply
    281,548.64x = 422,364.14 × 81,843.08
  4. Step 4: Simplify right side
    281,548.64x = 34,567,579,578.12
  5. Step 5: Solve for x
    x = 34,567,579,578.12/281,548.64
  6. Step 6: Final answer
    x = 122,776.58

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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.