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Finding the Fourth Proportional to 210,399.48, 290,353.26 and 119,751

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Solution

The fourth proportional to 210,399.48, 290,353.26 and 119,751 is: 165,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,399.48 : 290,353.26 = 119,751 : x
  2. Step 2: Convert to fraction form
    210,399.48/290,353.26 = 119,751/x
  3. Step 3: Cross multiply
    210,399.48x = 290,353.26 × 119,751
  4. Step 4: Simplify right side
    210,399.48x = 34,770,093,238.26
  5. Step 5: Solve for x
    x = 34,770,093,238.26/210,399.48
  6. Step 6: Final answer
    x = 165,257.51

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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.