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Finding the Fourth Proportional to 281,728.80, 422,662.50 and 82,051.05

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Solution

The fourth proportional to 281,728.80, 422,662.50 and 82,051.05 is: 123,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.80 : 422,662.50 = 82,051.05 : x
  2. Step 2: Convert to fraction form
    281,728.80/422,662.50 = 82,051.05/x
  3. Step 3: Cross multiply
    281,728.80x = 422,662.50 × 82,051.05
  4. Step 4: Simplify right side
    281,728.80x = 34,679,901,920.63
  5. Step 5: Solve for x
    x = 34,679,901,920.63/281,728.80
  6. Step 6: Final answer
    x = 123,096.76

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1.5x scale

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.