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Finding the Fourth Proportional to 225,645.97, 311,422.53 and 130,150.57

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Solution

The fourth proportional to 225,645.97, 311,422.53 and 130,150.57 is: 179,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,645.97 : 311,422.53 = 130,150.57 : x
  2. Step 2: Convert to fraction form
    225,645.97/311,422.53 = 130,150.57/x
  3. Step 3: Cross multiply
    225,645.97x = 311,422.53 × 130,150.57
  4. Step 4: Simplify right side
    225,645.97x = 40,531,819,790.34
  5. Step 5: Solve for x
    x = 40,531,819,790.34/225,645.97
  6. Step 6: Final answer
    x = 179,625.72

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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.