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Finding the Fourth Proportional to 225,930.96, 311,782.16 and 130,435.61

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Solution

The fourth proportional to 225,930.96, 311,782.16 and 130,435.61 is: 179,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,930.96 : 311,782.16 = 130,435.61 : x
  2. Step 2: Convert to fraction form
    225,930.96/311,782.16 = 130,435.61/x
  3. Step 3: Cross multiply
    225,930.96x = 311,782.16 × 130,435.61
  4. Step 4: Simplify right side
    225,930.96x = 40,667,494,993.90
  5. Step 5: Solve for x
    x = 40,667,494,993.90/225,930.96
  6. Step 6: Final answer
    x = 179,999.66

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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.