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Finding the Fourth Proportional to 281,272.54, 421,863.42 and 103,863.10

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Solution

The fourth proportional to 281,272.54, 421,863.42 and 103,863.10 is: 155,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,272.54 : 421,863.42 = 103,863.10 : x
  2. Step 2: Convert to fraction form
    281,272.54/421,863.42 = 103,863.10/x
  3. Step 3: Cross multiply
    281,272.54x = 421,863.42 × 103,863.10
  4. Step 4: Simplify right side
    281,272.54x = 43,816,042,577.80
  5. Step 5: Solve for x
    x = 43,816,042,577.80/281,272.54
  6. Step 6: Final answer
    x = 155,777.89

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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.