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Finding the Fourth Proportional to 205,806.97, 308,710.47 and 135,669.88

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Solution

The fourth proportional to 205,806.97, 308,710.47 and 135,669.88 is: 203,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.97 : 308,710.47 = 135,669.88 : x
  2. Step 2: Convert to fraction form
    205,806.97/308,710.47 = 135,669.88/x
  3. Step 3: Cross multiply
    205,806.97x = 308,710.47 × 135,669.88
  4. Step 4: Simplify right side
    205,806.97x = 41,882,712,419.64
  5. Step 5: Solve for x
    x = 41,882,712,419.64/205,806.97
  6. Step 6: Final answer
    x = 203,504.83

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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.