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Finding the Fourth Proportional to 225,583.73, 311,284.84 and 130,071.97

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Solution

The fourth proportional to 225,583.73, 311,284.84 and 130,071.97 is: 179,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,583.73 : 311,284.84 = 130,071.97 : x
  2. Step 2: Convert to fraction form
    225,583.73/311,284.84 = 130,071.97/x
  3. Step 3: Cross multiply
    225,583.73x = 311,284.84 × 130,071.97
  4. Step 4: Simplify right side
    225,583.73x = 40,489,432,369.93
  5. Step 5: Solve for x
    x = 40,489,432,369.93/225,583.73
  6. Step 6: Final answer
    x = 179,487.38

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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.