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Finding the Fourth Proportional to 281,212.10, 421,855.15 and 103,843.70

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Solution

The fourth proportional to 281,212.10, 421,855.15 and 103,843.70 is: 155,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,212.10 : 421,855.15 = 103,843.70 : x
  2. Step 2: Convert to fraction form
    281,212.10/421,855.15 = 103,843.70/x
  3. Step 3: Cross multiply
    281,212.10x = 421,855.15 × 103,843.70
  4. Step 4: Simplify right side
    281,212.10x = 43,806,999,640.06
  5. Step 5: Solve for x
    x = 43,806,999,640.06/281,212.10
  6. Step 6: Final answer
    x = 155,779.21

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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.