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Finding the Fourth Proportional to 225,456, 311,129.37 and 124,854

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Solution

The fourth proportional to 225,456, 311,129.37 and 124,854 is: 172,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,456 : 311,129.37 = 124,854 : x
  2. Step 2: Convert to fraction form
    225,456/311,129.37 = 124,854/x
  3. Step 3: Cross multiply
    225,456x = 311,129.37 × 124,854
  4. Step 4: Simplify right side
    225,456x = 38,845,746,361.98
  5. Step 5: Solve for x
    x = 38,845,746,361.98/225,456
  6. Step 6: Final answer
    x = 172,298.57

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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.