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Finding the Fourth Proportional to 207,864.64, 311,563.68 and 102,757.42

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Solution

The fourth proportional to 207,864.64, 311,563.68 and 102,757.42 is: 154,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864.64 : 311,563.68 = 102,757.42 : x
  2. Step 2: Convert to fraction form
    207,864.64/311,563.68 = 102,757.42/x
  3. Step 3: Cross multiply
    207,864.64x = 311,563.68 × 102,757.42
  4. Step 4: Simplify right side
    207,864.64x = 32,015,479,922.51
  5. Step 5: Solve for x
    x = 32,015,479,922.51/207,864.64
  6. Step 6: Final answer
    x = 154,020.81

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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.