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Finding the Fourth Proportional to 86,906, 119,930.28 and 47,162

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Solution

The fourth proportional to 86,906, 119,930.28 and 47,162 is: 65,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906 : 119,930.28 = 47,162 : x
  2. Step 2: Convert to fraction form
    86,906/119,930.28 = 47,162/x
  3. Step 3: Cross multiply
    86,906x = 119,930.28 × 47,162
  4. Step 4: Simplify right side
    86,906x = 5,656,151,865.36
  5. Step 5: Solve for x
    x = 5,656,151,865.36/86,906
  6. Step 6: Final answer
    x = 65,083.56

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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.