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Finding the Fourth Proportional to 205,067.93, 307,738.56 and 78,812.42

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Solution

The fourth proportional to 205,067.93, 307,738.56 and 78,812.42 is: 118,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,067.93 : 307,738.56 = 78,812.42 : x
  2. Step 2: Convert to fraction form
    205,067.93/307,738.56 = 78,812.42/x
  3. Step 3: Cross multiply
    205,067.93x = 307,738.56 × 78,812.42
  4. Step 4: Simplify right side
    205,067.93x = 24,253,619,102.22
  5. Step 5: Solve for x
    x = 24,253,619,102.22/205,067.93
  6. Step 6: Final answer
    x = 118,271.15

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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.