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Finding the Fourth Proportional to 281,548.89, 422,364.51 and 81,843.32

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Solution

The fourth proportional to 281,548.89, 422,364.51 and 81,843.32 is: 122,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,548.89 : 422,364.51 = 81,843.32 : x
  2. Step 2: Convert to fraction form
    281,548.89/422,364.51 = 81,843.32/x
  3. Step 3: Cross multiply
    281,548.89x = 422,364.51 × 81,843.32
  4. Step 4: Simplify right side
    281,548.89x = 34,567,713,748.57
  5. Step 5: Solve for x
    x = 34,567,713,748.57/281,548.89
  6. Step 6: Final answer
    x = 122,776.95

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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.