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Finding the Fourth Proportional to 225,425.50, 311,084.96 and 122,059.20

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Solution

The fourth proportional to 225,425.50, 311,084.96 and 122,059.20 is: 168,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,425.50 : 311,084.96 = 122,059.20 : x
  2. Step 2: Convert to fraction form
    225,425.50/311,084.96 = 122,059.20/x
  3. Step 3: Cross multiply
    225,425.50x = 311,084.96 × 122,059.20
  4. Step 4: Simplify right side
    225,425.50x = 37,970,781,349.63
  5. Step 5: Solve for x
    x = 37,970,781,349.63/225,425.50
  6. Step 6: Final answer
    x = 168,440.49

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1.5x scale

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.