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Finding the Fourth Proportional to 225,537.74, 311,228.70 and 123,542.84

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Solution

The fourth proportional to 225,537.74, 311,228.70 and 123,542.84 is: 170,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,537.74 : 311,228.70 = 123,542.84 : x
  2. Step 2: Convert to fraction form
    225,537.74/311,228.70 = 123,542.84/x
  3. Step 3: Cross multiply
    225,537.74x = 311,228.70 × 123,542.84
  4. Step 4: Simplify right side
    225,537.74x = 38,450,077,487.51
  5. Step 5: Solve for x
    x = 38,450,077,487.51/225,537.74
  6. Step 6: Final answer
    x = 170,481.79

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1.5x scale

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.