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Finding the Fourth Proportional to 205,405.20, 308,107.80 and 57,661.20

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Solution

The fourth proportional to 205,405.20, 308,107.80 and 57,661.20 is: 86,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,405.20 : 308,107.80 = 57,661.20 : x
  2. Step 2: Convert to fraction form
    205,405.20/308,107.80 = 57,661.20/x
  3. Step 3: Cross multiply
    205,405.20x = 308,107.80 × 57,661.20
  4. Step 4: Simplify right side
    205,405.20x = 17,765,865,477.36
  5. Step 5: Solve for x
    x = 17,765,865,477.36/205,405.20
  6. Step 6: Final answer
    x = 86,491.80

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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.