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Finding the Fourth Proportional to 89,766, 123,842.39 and 51,511.73

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Solution

The fourth proportional to 89,766, 123,842.39 and 51,511.73 is: 71,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,766 : 123,842.39 = 51,511.73 : x
  2. Step 2: Convert to fraction form
    89,766/123,842.39 = 51,511.73/x
  3. Step 3: Cross multiply
    89,766x = 123,842.39 × 51,511.73
  4. Step 4: Simplify right side
    89,766x = 6,379,334,879.46
  5. Step 5: Solve for x
    x = 6,379,334,879.46/89,766
  6. Step 6: Final answer
    x = 71,066.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.