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Finding the Fourth Proportional to 209,173.17, 313,888.53 and 82,791.90

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Solution

The fourth proportional to 209,173.17, 313,888.53 and 82,791.90 is: 124,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,173.17 : 313,888.53 = 82,791.90 : x
  2. Step 2: Convert to fraction form
    209,173.17/313,888.53 = 82,791.90/x
  3. Step 3: Cross multiply
    209,173.17x = 313,888.53 × 82,791.90
  4. Step 4: Simplify right side
    209,173.17x = 25,987,427,786.91
  5. Step 5: Solve for x
    x = 25,987,427,786.91/209,173.17
  6. Step 6: Final answer
    x = 124,238.82

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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.