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Finding the Fourth Proportional to 225,452, 311,133.54 and 124,850

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Solution

The fourth proportional to 225,452, 311,133.54 and 124,850 is: 172,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,452 : 311,133.54 = 124,850 : x
  2. Step 2: Convert to fraction form
    225,452/311,133.54 = 124,850/x
  3. Step 3: Cross multiply
    225,452x = 311,133.54 × 124,850
  4. Step 4: Simplify right side
    225,452x = 38,845,022,469
  5. Step 5: Solve for x
    x = 38,845,022,469/225,452
  6. Step 6: Final answer
    x = 172,298.42

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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.