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Finding the Fourth Proportional to 209,765.97, 314,399.07 and 120,835.26

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Solution

The fourth proportional to 209,765.97, 314,399.07 and 120,835.26 is: 181,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,765.97 : 314,399.07 = 120,835.26 : x
  2. Step 2: Convert to fraction form
    209,765.97/314,399.07 = 120,835.26/x
  3. Step 3: Cross multiply
    209,765.97x = 314,399.07 × 120,835.26
  4. Step 4: Simplify right side
    209,765.97x = 37,990,493,367.21
  5. Step 5: Solve for x
    x = 37,990,493,367.21/209,765.97
  6. Step 6: Final answer
    x = 181,108.94

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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.