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Finding the Fourth Proportional to 205,137.34, 307,843.45 and 72,017.99

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Solution

The fourth proportional to 205,137.34, 307,843.45 and 72,017.99 is: 108,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137.34 : 307,843.45 = 72,017.99 : x
  2. Step 2: Convert to fraction form
    205,137.34/307,843.45 = 72,017.99/x
  3. Step 3: Cross multiply
    205,137.34x = 307,843.45 × 72,017.99
  4. Step 4: Simplify right side
    205,137.34x = 22,170,266,503.67
  5. Step 5: Solve for x
    x = 22,170,266,503.67/205,137.34
  6. Step 6: Final answer
    x = 108,075.24

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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.