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Finding the Fourth Proportional to 225,967.29, 311,824.38 and 123,990.22

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Solution

The fourth proportional to 225,967.29, 311,824.38 and 123,990.22 is: 171,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.29 : 311,824.38 = 123,990.22 : x
  2. Step 2: Convert to fraction form
    225,967.29/311,824.38 = 123,990.22/x
  3. Step 3: Cross multiply
    225,967.29x = 311,824.38 × 123,990.22
  4. Step 4: Simplify right side
    225,967.29x = 38,663,173,455.30
  5. Step 5: Solve for x
    x = 38,663,173,455.30/225,967.29
  6. Step 6: Final answer
    x = 171,100.75

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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.