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Finding the Fourth Proportional to 225,249.31, 310,844.16 and 123,274.71

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Solution

The fourth proportional to 225,249.31, 310,844.16 and 123,274.71 is: 170,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,249.31 : 310,844.16 = 123,274.71 : x
  2. Step 2: Convert to fraction form
    225,249.31/310,844.16 = 123,274.71/x
  3. Step 3: Cross multiply
    225,249.31x = 310,844.16 × 123,274.71
  4. Step 4: Simplify right side
    225,249.31x = 38,319,223,170.09
  5. Step 5: Solve for x
    x = 38,319,223,170.09/225,249.31
  6. Step 6: Final answer
    x = 170,119.16

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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.