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Finding the Fourth Proportional to 225,965.96, 311,830.98 and 123,989.48

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Solution

The fourth proportional to 225,965.96, 311,830.98 and 123,989.48 is: 171,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,965.96 : 311,830.98 = 123,989.48 : x
  2. Step 2: Convert to fraction form
    225,965.96/311,830.98 = 123,989.48/x
  3. Step 3: Cross multiply
    225,965.96x = 311,830.98 × 123,989.48
  4. Step 4: Simplify right side
    225,965.96x = 38,663,761,058.09
  5. Step 5: Solve for x
    x = 38,663,761,058.09/225,965.96
  6. Step 6: Final answer
    x = 171,104.36

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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.