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Finding the Fourth Proportional to 205,734.84, 308,391.06 and 100,424.28

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Solution

The fourth proportional to 205,734.84, 308,391.06 and 100,424.28 is: 150,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,734.84 : 308,391.06 = 100,424.28 : x
  2. Step 2: Convert to fraction form
    205,734.84/308,391.06 = 100,424.28/x
  3. Step 3: Cross multiply
    205,734.84x = 308,391.06 × 100,424.28
  4. Step 4: Simplify right side
    205,734.84x = 30,969,950,158.94
  5. Step 5: Solve for x
    x = 30,969,950,158.94/205,734.84
  6. Step 6: Final answer
    x = 150,533.33

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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.