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Finding the Fourth Proportional to 225,848.43, 311,668.71 and 123,871.82

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Solution

The fourth proportional to 225,848.43, 311,668.71 and 123,871.82 is: 170,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,848.43 : 311,668.71 = 123,871.82 : x
  2. Step 2: Convert to fraction form
    225,848.43/311,668.71 = 123,871.82/x
  3. Step 3: Cross multiply
    225,848.43x = 311,668.71 × 123,871.82
  4. Step 4: Simplify right side
    225,848.43x = 38,606,968,786.41
  5. Step 5: Solve for x
    x = 38,606,968,786.41/225,848.43
  6. Step 6: Final answer
    x = 170,941.94

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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.