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Finding the Fourth Proportional to 207,410, 311,161.08 and 76,082

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Solution

The fourth proportional to 207,410, 311,161.08 and 76,082 is: 114,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,410 : 311,161.08 = 76,082 : x
  2. Step 2: Convert to fraction form
    207,410/311,161.08 = 76,082/x
  3. Step 3: Cross multiply
    207,410x = 311,161.08 × 76,082
  4. Step 4: Simplify right side
    207,410x = 23,673,757,288.56
  5. Step 5: Solve for x
    x = 23,673,757,288.56/207,410
  6. Step 6: Final answer
    x = 114,139.90

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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.