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Finding the Fourth Proportional to 281,868.81, 422,758.21 and 82,142.48

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Solution

The fourth proportional to 281,868.81, 422,758.21 and 82,142.48 is: 123,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,868.81 : 422,758.21 = 82,142.48 : x
  2. Step 2: Convert to fraction form
    281,868.81/422,758.21 = 82,142.48/x
  3. Step 3: Cross multiply
    281,868.81x = 422,758.21 × 82,142.48
  4. Step 4: Simplify right side
    281,868.81x = 34,726,407,809.76
  5. Step 5: Solve for x
    x = 34,726,407,809.76/281,868.81
  6. Step 6: Final answer
    x = 123,200.60

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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.