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Finding the Fourth Proportional to 225,286.02, 310,893.89 and 121,920.01

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Solution

The fourth proportional to 225,286.02, 310,893.89 and 121,920.01 is: 168,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,286.02 : 310,893.89 = 121,920.01 : x
  2. Step 2: Convert to fraction form
    225,286.02/310,893.89 = 121,920.01/x
  3. Step 3: Cross multiply
    225,286.02x = 310,893.89 × 121,920.01
  4. Step 4: Simplify right side
    225,286.02x = 37,904,186,177.74
  5. Step 5: Solve for x
    x = 37,904,186,177.74/225,286.02
  6. Step 6: Final answer
    x = 168,249.17

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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.