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Finding the Fourth Proportional to 225,708.89, 311,481.81 and 135,068.68

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Solution

The fourth proportional to 225,708.89, 311,481.81 and 135,068.68 is: 186,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,708.89 : 311,481.81 = 135,068.68 : x
  2. Step 2: Convert to fraction form
    225,708.89/311,481.81 = 135,068.68/x
  3. Step 3: Cross multiply
    225,708.89x = 311,481.81 × 135,068.68
  4. Step 4: Simplify right side
    225,708.89x = 42,071,436,920.71
  5. Step 5: Solve for x
    x = 42,071,436,920.71/225,708.89
  6. Step 6: Final answer
    x = 186,396.90

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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.