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Finding the Fourth Proportional to 207,396.36, 311,100.48 and 57,647.61

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Solution

The fourth proportional to 207,396.36, 311,100.48 and 57,647.61 is: 86,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,396.36 : 311,100.48 = 57,647.61 : x
  2. Step 2: Convert to fraction form
    207,396.36/311,100.48 = 57,647.61/x
  3. Step 3: Cross multiply
    207,396.36x = 311,100.48 × 57,647.61
  4. Step 4: Simplify right side
    207,396.36x = 17,934,199,141.85
  5. Step 5: Solve for x
    x = 17,934,199,141.85/207,396.36
  6. Step 6: Final answer
    x = 86,473.07

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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.