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Finding the Fourth Proportional to 230,992, 318,768.96 and 125,008

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Solution

The fourth proportional to 230,992, 318,768.96 and 125,008 is: 172,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992 : 318,768.96 = 125,008 : x
  2. Step 2: Convert to fraction form
    230,992/318,768.96 = 125,008/x
  3. Step 3: Cross multiply
    230,992x = 318,768.96 × 125,008
  4. Step 4: Simplify right side
    230,992x = 39,848,670,151.68
  5. Step 5: Solve for x
    x = 39,848,670,151.68/230,992
  6. Step 6: Final answer
    x = 172,511.04

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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.