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Finding the Fourth Proportional to 131,942, 182,080.60 and 78,950

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Solution

The fourth proportional to 131,942, 182,080.60 and 78,950 is: 108,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,942 : 182,080.60 = 78,950 : x
  2. Step 2: Convert to fraction form
    131,942/182,080.60 = 78,950/x
  3. Step 3: Cross multiply
    131,942x = 182,080.60 × 78,950
  4. Step 4: Simplify right side
    131,942x = 14,375,263,370
  5. Step 5: Solve for x
    x = 14,375,263,370/131,942
  6. Step 6: Final answer
    x = 108,951.38

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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.