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Finding the Fourth Proportional to 281,485.90, 422,256.57 and 81,808.03

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Solution

The fourth proportional to 281,485.90, 422,256.57 and 81,808.03 is: 122,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,485.90 : 422,256.57 = 81,808.03 : x
  2. Step 2: Convert to fraction form
    281,485.90/422,256.57 = 81,808.03/x
  3. Step 3: Cross multiply
    281,485.90x = 422,256.57 × 81,808.03
  4. Step 4: Simplify right side
    281,485.90x = 34,543,978,146.26
  5. Step 5: Solve for x
    x = 34,543,978,146.26/281,485.90
  6. Step 6: Final answer
    x = 122,720.10

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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.