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Finding the Fourth Proportional to 281,735.58, 422,652.56 and 123,959.91

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Solution

The fourth proportional to 281,735.58, 422,652.56 and 123,959.91 is: 185,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,735.58 : 422,652.56 = 123,959.91 : x
  2. Step 2: Convert to fraction form
    281,735.58/422,652.56 = 123,959.91/x
  3. Step 3: Cross multiply
    281,735.58x = 422,652.56 × 123,959.91
  4. Step 4: Simplify right side
    281,735.58x = 52,391,972,679.07
  5. Step 5: Solve for x
    x = 52,391,972,679.07/281,735.58
  6. Step 6: Final answer
    x = 185,961.51

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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.