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Finding the Fourth Proportional to 281,759.52, 422,704.80 and 82,101.12

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Solution

The fourth proportional to 281,759.52, 422,704.80 and 82,101.12 is: 123,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,759.52 : 422,704.80 = 82,101.12 : x
  2. Step 2: Convert to fraction form
    281,759.52/422,704.80 = 82,101.12/x
  3. Step 3: Cross multiply
    281,759.52x = 422,704.80 × 82,101.12
  4. Step 4: Simplify right side
    281,759.52x = 34,704,537,509.38
  5. Step 5: Solve for x
    x = 34,704,537,509.38/281,759.52
  6. Step 6: Final answer
    x = 123,170.77

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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.