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Finding the Fourth Proportional to 281,327.41, 421,978.15 and 81,643.78

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Solution

The fourth proportional to 281,327.41, 421,978.15 and 81,643.78 is: 122,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,327.41 : 421,978.15 = 81,643.78 : x
  2. Step 2: Convert to fraction form
    281,327.41/421,978.15 = 81,643.78/x
  3. Step 3: Cross multiply
    281,327.41x = 421,978.15 × 81,643.78
  4. Step 4: Simplify right side
    281,327.41x = 34,451,891,243.41
  5. Step 5: Solve for x
    x = 34,451,891,243.41/281,327.41
  6. Step 6: Final answer
    x = 122,461.91

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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.