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Finding the Fourth Proportional to 225,898.16, 311,736.54 and 129,100.92

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Solution

The fourth proportional to 225,898.16, 311,736.54 and 129,100.92 is: 178,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,898.16 : 311,736.54 = 129,100.92 : x
  2. Step 2: Convert to fraction form
    225,898.16/311,736.54 = 129,100.92/x
  3. Step 3: Cross multiply
    225,898.16x = 311,736.54 × 129,100.92
  4. Step 4: Simplify right side
    225,898.16x = 40,245,474,111.62
  5. Step 5: Solve for x
    x = 40,245,474,111.62/225,898.16
  6. Step 6: Final answer
    x = 178,157.60

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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.