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Finding the Fourth Proportional to 281,797.08, 422,878.80 and 122,029

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Solution

The fourth proportional to 281,797.08, 422,878.80 and 122,029 is: 183,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,797.08 : 422,878.80 = 122,029 : x
  2. Step 2: Convert to fraction form
    281,797.08/422,878.80 = 122,029/x
  3. Step 3: Cross multiply
    281,797.08x = 422,878.80 × 122,029
  4. Step 4: Simplify right side
    281,797.08x = 51,603,477,085.20
  5. Step 5: Solve for x
    x = 51,603,477,085.20/281,797.08
  6. Step 6: Final answer
    x = 183,122.82

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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.