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Finding the Fourth Proportional to 205,706.03, 308,593.36 and 70,764.65

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Solution

The fourth proportional to 205,706.03, 308,593.36 and 70,764.65 is: 106,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706.03 : 308,593.36 = 70,764.65 : x
  2. Step 2: Convert to fraction form
    205,706.03/308,593.36 = 70,764.65/x
  3. Step 3: Cross multiply
    205,706.03x = 308,593.36 × 70,764.65
  4. Step 4: Simplify right side
    205,706.03x = 21,837,501,112.72
  5. Step 5: Solve for x
    x = 21,837,501,112.72/205,706.03
  6. Step 6: Final answer
    x = 106,158.78

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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.