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Finding the Fourth Proportional to 225,791.82, 311,590.14 and 130,296.47

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Solution

The fourth proportional to 225,791.82, 311,590.14 and 130,296.47 is: 179,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,791.82 : 311,590.14 = 130,296.47 : x
  2. Step 2: Convert to fraction form
    225,791.82/311,590.14 = 130,296.47/x
  3. Step 3: Cross multiply
    225,791.82x = 311,590.14 × 130,296.47
  4. Step 4: Simplify right side
    225,791.82x = 40,599,094,015.16
  5. Step 5: Solve for x
    x = 40,599,094,015.16/225,791.82
  6. Step 6: Final answer
    x = 179,807.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.