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Finding the Fourth Proportional to 205,743.84, 308,404.56 and 100,433.28

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Solution

The fourth proportional to 205,743.84, 308,404.56 and 100,433.28 is: 150,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,743.84 : 308,404.56 = 100,433.28 : x
  2. Step 2: Convert to fraction form
    205,743.84/308,404.56 = 100,433.28/x
  3. Step 3: Cross multiply
    205,743.84x = 308,404.56 × 100,433.28
  4. Step 4: Simplify right side
    205,743.84x = 30,974,081,527.76
  5. Step 5: Solve for x
    x = 30,974,081,527.76/205,743.84
  6. Step 6: Final answer
    x = 150,546.82

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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.