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Finding the Fourth Proportional to 225,189.81, 310,765.89 and 123,224.21

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Solution

The fourth proportional to 225,189.81, 310,765.89 and 123,224.21 is: 170,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,189.81 : 310,765.89 = 123,224.21 : x
  2. Step 2: Convert to fraction form
    225,189.81/310,765.89 = 123,224.21/x
  3. Step 3: Cross multiply
    225,189.81x = 310,765.89 × 123,224.21
  4. Step 4: Simplify right side
    225,189.81x = 38,293,879,930.60
  5. Step 5: Solve for x
    x = 38,293,879,930.60/225,189.81
  6. Step 6: Final answer
    x = 170,051.56

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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.