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Finding the Fourth Proportional to 281,180.91, 421,241.72 and 138,859.66

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Solution

The fourth proportional to 281,180.91, 421,241.72 and 138,859.66 is: 208,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,180.91 : 421,241.72 = 138,859.66 : x
  2. Step 2: Convert to fraction form
    281,180.91/421,241.72 = 138,859.66/x
  3. Step 3: Cross multiply
    281,180.91x = 421,241.72 × 138,859.66
  4. Step 4: Simplify right side
    281,180.91x = 58,493,479,910.81
  5. Step 5: Solve for x
    x = 58,493,479,910.81/281,180.91
  6. Step 6: Final answer
    x = 208,027.92

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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.