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Finding the Fourth Proportional to 225,499.70, 311,194.62 and 128,701.62

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Solution

The fourth proportional to 225,499.70, 311,194.62 and 128,701.62 is: 177,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,499.70 : 311,194.62 = 128,701.62 : x
  2. Step 2: Convert to fraction form
    225,499.70/311,194.62 = 128,701.62/x
  3. Step 3: Cross multiply
    225,499.70x = 311,194.62 × 128,701.62
  4. Step 4: Simplify right side
    225,499.70x = 40,051,251,729.28
  5. Step 5: Solve for x
    x = 40,051,251,729.28/225,499.70
  6. Step 6: Final answer
    x = 177,611.11

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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.