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Finding the Fourth Proportional to 225,190.31, 310,766.58 and 123,224.71

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Solution

The fourth proportional to 225,190.31, 310,766.58 and 123,224.71 is: 170,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,190.31 : 310,766.58 = 123,224.71 : x
  2. Step 2: Convert to fraction form
    225,190.31/310,766.58 = 123,224.71/x
  3. Step 3: Cross multiply
    225,190.31x = 310,766.58 × 123,224.71
  4. Step 4: Simplify right side
    225,190.31x = 38,294,120,144.36
  5. Step 5: Solve for x
    x = 38,294,120,144.36/225,190.31
  6. Step 6: Final answer
    x = 170,052.25

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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.