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Finding the Fourth Proportional to 204,879.36, 307,109.96 and 130,054.80

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Solution

The fourth proportional to 204,879.36, 307,109.96 and 130,054.80 is: 194,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,879.36 : 307,109.96 = 130,054.80 : x
  2. Step 2: Convert to fraction form
    204,879.36/307,109.96 = 130,054.80/x
  3. Step 3: Cross multiply
    204,879.36x = 307,109.96 × 130,054.80
  4. Step 4: Simplify right side
    204,879.36x = 39,941,124,425.81
  5. Step 5: Solve for x
    x = 39,941,124,425.81/204,879.36
  6. Step 6: Final answer
    x = 194,949.48

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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.