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Finding the Fourth Proportional to 225,397, 311,057.58 and 124,795

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Solution

The fourth proportional to 225,397, 311,057.58 and 124,795 is: 172,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,397 : 311,057.58 = 124,795 : x
  2. Step 2: Convert to fraction form
    225,397/311,057.58 = 124,795/x
  3. Step 3: Cross multiply
    225,397x = 311,057.58 × 124,795
  4. Step 4: Simplify right side
    225,397x = 38,818,430,696.10
  5. Step 5: Solve for x
    x = 38,818,430,696.10/225,397
  6. Step 6: Final answer
    x = 172,222.48

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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.