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Finding the Fourth Proportional to 281,360.78, 422,082.89 and 81,682.82

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Solution

The fourth proportional to 281,360.78, 422,082.89 and 81,682.82 is: 122,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,360.78 : 422,082.89 = 81,682.82 : x
  2. Step 2: Convert to fraction form
    281,360.78/422,082.89 = 81,682.82/x
  3. Step 3: Cross multiply
    281,360.78x = 422,082.89 × 81,682.82
  4. Step 4: Simplify right side
    281,360.78x = 34,476,920,728.95
  5. Step 5: Solve for x
    x = 34,476,920,728.95/281,360.78
  6. Step 6: Final answer
    x = 122,536.34

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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.