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Finding the Fourth Proportional to 149,231.17, 205,939.02 and 82,163.17

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Solution

The fourth proportional to 149,231.17, 205,939.02 and 82,163.17 is: 113,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,231.17 : 205,939.02 = 82,163.17 : x
  2. Step 2: Convert to fraction form
    149,231.17/205,939.02 = 82,163.17/x
  3. Step 3: Cross multiply
    149,231.17x = 205,939.02 × 82,163.17
  4. Step 4: Simplify right side
    149,231.17x = 16,920,602,709.89
  5. Step 5: Solve for x
    x = 16,920,602,709.89/149,231.17
  6. Step 6: Final answer
    x = 113,385.18

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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.