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Finding the Fourth Proportional to 281,112.40, 421,668.60 and 81,439.30

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Solution

The fourth proportional to 281,112.40, 421,668.60 and 81,439.30 is: 122,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,112.40 : 421,668.60 = 81,439.30 : x
  2. Step 2: Convert to fraction form
    281,112.40/421,668.60 = 81,439.30/x
  3. Step 3: Cross multiply
    281,112.40x = 421,668.60 × 81,439.30
  4. Step 4: Simplify right side
    281,112.40x = 34,340,395,615.98
  5. Step 5: Solve for x
    x = 34,340,395,615.98/281,112.40
  6. Step 6: Final answer
    x = 122,158.95

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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.