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Finding the Fourth Proportional to 225,970.44, 311,825.76 and 129,184.80

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Solution

The fourth proportional to 225,970.44, 311,825.76 and 129,184.80 is: 178,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,970.44 : 311,825.76 = 129,184.80 : x
  2. Step 2: Convert to fraction form
    225,970.44/311,825.76 = 129,184.80/x
  3. Step 3: Cross multiply
    225,970.44x = 311,825.76 × 129,184.80
  4. Step 4: Simplify right side
    225,970.44x = 40,283,148,440.45
  5. Step 5: Solve for x
    x = 40,283,148,440.45/225,970.44
  6. Step 6: Final answer
    x = 178,267.34

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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.