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Finding the Fourth Proportional to 135,814, 187,437.72 and 76,198

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Solution

The fourth proportional to 135,814, 187,437.72 and 76,198 is: 105,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814 : 187,437.72 = 76,198 : x
  2. Step 2: Convert to fraction form
    135,814/187,437.72 = 76,198/x
  3. Step 3: Cross multiply
    135,814x = 187,437.72 × 76,198
  4. Step 4: Simplify right side
    135,814x = 14,282,379,388.56
  5. Step 5: Solve for x
    x = 14,282,379,388.56/135,814
  6. Step 6: Final answer
    x = 105,161.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.