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Finding the Fourth Proportional to 225,553.16, 311,248.78 and 123,578.48

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Solution

The fourth proportional to 225,553.16, 311,248.78 and 123,578.48 is: 170,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,553.16 : 311,248.78 = 123,578.48 : x
  2. Step 2: Convert to fraction form
    225,553.16/311,248.78 = 123,578.48/x
  3. Step 3: Cross multiply
    225,553.16x = 311,248.78 × 123,578.48
  4. Step 4: Simplify right side
    225,553.16x = 38,463,651,134.25
  5. Step 5: Solve for x
    x = 38,463,651,134.25/225,553.16
  6. Step 6: Final answer
    x = 170,530.31

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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.