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Finding the Fourth Proportional to 207,616.95, 311,425.64 and 57,857.67

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Solution

The fourth proportional to 207,616.95, 311,425.64 and 57,857.67 is: 86,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,616.95 : 311,425.64 = 57,857.67 : x
  2. Step 2: Convert to fraction form
    207,616.95/311,425.64 = 57,857.67/x
  3. Step 3: Cross multiply
    207,616.95x = 311,425.64 × 57,857.67
  4. Step 4: Simplify right side
    207,616.95x = 18,018,361,619.37
  5. Step 5: Solve for x
    x = 18,018,361,619.37/207,616.95
  6. Step 6: Final answer
    x = 86,786.56

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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.