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Finding the Fourth Proportional to 281,806.40, 422,725.80 and 82,157.60

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Solution

The fourth proportional to 281,806.40, 422,725.80 and 82,157.60 is: 123,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806.40 : 422,725.80 = 82,157.60 : x
  2. Step 2: Convert to fraction form
    281,806.40/422,725.80 = 82,157.60/x
  3. Step 3: Cross multiply
    281,806.40x = 422,725.80 × 82,157.60
  4. Step 4: Simplify right side
    281,806.40x = 34,730,137,186.08
  5. Step 5: Solve for x
    x = 34,730,137,186.08/281,806.40
  6. Step 6: Final answer
    x = 123,241.12

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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.