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Finding the Fourth Proportional to 281,334.32, 421,913.24 and 81,668.56

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Solution

The fourth proportional to 281,334.32, 421,913.24 and 81,668.56 is: 122,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,334.32 : 421,913.24 = 81,668.56 : x
  2. Step 2: Convert to fraction form
    281,334.32/421,913.24 = 81,668.56/x
  3. Step 3: Cross multiply
    281,334.32x = 421,913.24 × 81,668.56
  4. Step 4: Simplify right side
    281,334.32x = 34,457,046,755.73
  5. Step 5: Solve for x
    x = 34,457,046,755.73/281,334.32
  6. Step 6: Final answer
    x = 122,477.22

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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.