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Finding the Fourth Proportional to 281,012.60, 421,321.80 and 103,496.60

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Solution

The fourth proportional to 281,012.60, 421,321.80 and 103,496.60 is: 155,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,012.60 : 421,321.80 = 103,496.60 : x
  2. Step 2: Convert to fraction form
    281,012.60/421,321.80 = 103,496.60/x
  3. Step 3: Cross multiply
    281,012.60x = 421,321.80 × 103,496.60
  4. Step 4: Simplify right side
    281,012.60x = 43,605,373,805.88
  5. Step 5: Solve for x
    x = 43,605,373,805.88/281,012.60
  6. Step 6: Final answer
    x = 155,172.31

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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.