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Finding the Fourth Proportional to 225,670.86, 311,414.22 and 130,171.86

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Solution

The fourth proportional to 225,670.86, 311,414.22 and 130,171.86 is: 179,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,670.86 : 311,414.22 = 130,171.86 : x
  2. Step 2: Convert to fraction form
    225,670.86/311,414.22 = 130,171.86/x
  3. Step 3: Cross multiply
    225,670.86x = 311,414.22 × 130,171.86
  4. Step 4: Simplify right side
    225,670.86x = 40,537,368,247.85
  5. Step 5: Solve for x
    x = 40,537,368,247.85/225,670.86
  6. Step 6: Final answer
    x = 179,630.49

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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.