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Finding the Fourth Proportional to 205,099.86, 307,647.97 and 71,948.93

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Solution

The fourth proportional to 205,099.86, 307,647.97 and 71,948.93 is: 107,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.86 : 307,647.97 = 71,948.93 : x
  2. Step 2: Convert to fraction form
    205,099.86/307,647.97 = 71,948.93/x
  3. Step 3: Cross multiply
    205,099.86x = 307,647.97 × 71,948.93
  4. Step 4: Simplify right side
    205,099.86x = 22,134,940,540.06
  5. Step 5: Solve for x
    x = 22,134,940,540.06/205,099.86
  6. Step 6: Final answer
    x = 107,922.75

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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.