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Finding the Fourth Proportional to 281,869.81, 422,759.71 and 82,143.48

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Solution

The fourth proportional to 281,869.81, 422,759.71 and 82,143.48 is: 123,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,869.81 : 422,759.71 = 82,143.48 : x
  2. Step 2: Convert to fraction form
    281,869.81/422,759.71 = 82,143.48/x
  3. Step 3: Cross multiply
    281,869.81x = 422,759.71 × 82,143.48
  4. Step 4: Simplify right side
    281,869.81x = 34,726,953,783.19
  5. Step 5: Solve for x
    x = 34,726,953,783.19/281,869.81
  6. Step 6: Final answer
    x = 123,202.10

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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.