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Finding the Fourth Proportional to 204,811.80, 307,412.10 and 126,079.80

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Solution

The fourth proportional to 204,811.80, 307,412.10 and 126,079.80 is: 189,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,811.80 : 307,412.10 = 126,079.80 : x
  2. Step 2: Convert to fraction form
    204,811.80/307,412.10 = 126,079.80/x
  3. Step 3: Cross multiply
    204,811.80x = 307,412.10 × 126,079.80
  4. Step 4: Simplify right side
    204,811.80x = 38,758,456,085.58
  5. Step 5: Solve for x
    x = 38,758,456,085.58/204,811.80
  6. Step 6: Final answer
    x = 189,239.37

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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.