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Finding the Fourth Proportional to 136,611, 188,524.66 and 76,995

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Solution

The fourth proportional to 136,611, 188,524.66 and 76,995 is: 106,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,611 : 188,524.66 = 76,995 : x
  2. Step 2: Convert to fraction form
    136,611/188,524.66 = 76,995/x
  3. Step 3: Cross multiply
    136,611x = 188,524.66 × 76,995
  4. Step 4: Simplify right side
    136,611x = 14,515,456,196.70
  5. Step 5: Solve for x
    x = 14,515,456,196.70/136,611
  6. Step 6: Final answer
    x = 106,253.93

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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.