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Finding the Fourth Proportional to 225,634.82, 311,177.31 and 139,580.12

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Solution

The fourth proportional to 225,634.82, 311,177.31 and 139,580.12 is: 192,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,634.82 : 311,177.31 = 139,580.12 : x
  2. Step 2: Convert to fraction form
    225,634.82/311,177.31 = 139,580.12/x
  3. Step 3: Cross multiply
    225,634.82x = 311,177.31 × 139,580.12
  4. Step 4: Simplify right side
    225,634.82x = 43,434,166,271.08
  5. Step 5: Solve for x
    x = 43,434,166,271.08/225,634.82
  6. Step 6: Final answer
    x = 192,497.62

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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.