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Finding the Fourth Proportional to 205,137.46, 307,843.61 and 72,018.11

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Solution

The fourth proportional to 205,137.46, 307,843.61 and 72,018.11 is: 108,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137.46 : 307,843.61 = 72,018.11 : x
  2. Step 2: Convert to fraction form
    205,137.46/307,843.61 = 72,018.11/x
  3. Step 3: Cross multiply
    205,137.46x = 307,843.61 × 72,018.11
  4. Step 4: Simplify right side
    205,137.46x = 22,170,315,377.30
  5. Step 5: Solve for x
    x = 22,170,315,377.30/205,137.46
  6. Step 6: Final answer
    x = 108,075.41

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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.