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Finding the Fourth Proportional to 225,400.50, 311,062.41 and 124,798.50

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Solution

The fourth proportional to 225,400.50, 311,062.41 and 124,798.50 is: 172,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400.50 : 311,062.41 = 124,798.50 : x
  2. Step 2: Convert to fraction form
    225,400.50/311,062.41 = 124,798.50/x
  3. Step 3: Cross multiply
    225,400.50x = 311,062.41 × 124,798.50
  4. Step 4: Simplify right side
    225,400.50x = 38,820,122,174.39
  5. Step 5: Solve for x
    x = 38,820,122,174.39/225,400.50
  6. Step 6: Final answer
    x = 172,227.31

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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.