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Finding the Fourth Proportional to 205,389.20, 308,083.80 and 94,797.20

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Solution

The fourth proportional to 205,389.20, 308,083.80 and 94,797.20 is: 142,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,389.20 : 308,083.80 = 94,797.20 : x
  2. Step 2: Convert to fraction form
    205,389.20/308,083.80 = 94,797.20/x
  3. Step 3: Cross multiply
    205,389.20x = 308,083.80 × 94,797.20
  4. Step 4: Simplify right side
    205,389.20x = 29,205,481,605.36
  5. Step 5: Solve for x
    x = 29,205,481,605.36/205,389.20
  6. Step 6: Final answer
    x = 142,195.80

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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.