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Finding the Fourth Proportional to 205,185.91, 308,119.26 and 126,798.37

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Solution

The fourth proportional to 205,185.91, 308,119.26 and 126,798.37 is: 190,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,185.91 : 308,119.26 = 126,798.37 : x
  2. Step 2: Convert to fraction form
    205,185.91/308,119.26 = 126,798.37/x
  3. Step 3: Cross multiply
    205,185.91x = 308,119.26 × 126,798.37
  4. Step 4: Simplify right side
    205,185.91x = 39,069,019,933.61
  5. Step 5: Solve for x
    x = 39,069,019,933.61/205,185.91
  6. Step 6: Final answer
    x = 190,407.91

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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.