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Finding the Fourth Proportional to 207,231.20, 311,000.40 and 137,087.20

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Solution

The fourth proportional to 207,231.20, 311,000.40 and 137,087.20 is: 205,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231.20 : 311,000.40 = 137,087.20 : x
  2. Step 2: Convert to fraction form
    207,231.20/311,000.40 = 137,087.20/x
  3. Step 3: Cross multiply
    207,231.20x = 311,000.40 × 137,087.20
  4. Step 4: Simplify right side
    207,231.20x = 42,634,174,034.88
  5. Step 5: Solve for x
    x = 42,634,174,034.88/207,231.20
  6. Step 6: Final answer
    x = 205,732.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.