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Finding the Fourth Proportional to 228,757.14, 343,178.85 and 86,644.96

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Solution

The fourth proportional to 228,757.14, 343,178.85 and 86,644.96 is: 129,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,757.14 : 343,178.85 = 86,644.96 : x
  2. Step 2: Convert to fraction form
    228,757.14/343,178.85 = 86,644.96/x
  3. Step 3: Cross multiply
    228,757.14x = 343,178.85 × 86,644.96
  4. Step 4: Simplify right side
    228,757.14x = 29,734,717,731.10
  5. Step 5: Solve for x
    x = 29,734,717,731.10/228,757.14
  6. Step 6: Final answer
    x = 129,983.78

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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.