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Finding the Fourth Proportional to 227,100, 313,398 and 126,495.84

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Solution

The fourth proportional to 227,100, 313,398 and 126,495.84 is: 174,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,100 : 313,398 = 126,495.84 : x
  2. Step 2: Convert to fraction form
    227,100/313,398 = 126,495.84/x
  3. Step 3: Cross multiply
    227,100x = 313,398 × 126,495.84
  4. Step 4: Simplify right side
    227,100x = 39,643,543,264.32
  5. Step 5: Solve for x
    x = 39,643,543,264.32/227,100
  6. Step 6: Final answer
    x = 174,564.26

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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.