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Finding the Fourth Proportional to 136,651.40, 188,578.44 and 76,222

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Solution

The fourth proportional to 136,651.40, 188,578.44 and 76,222 is: 105,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,651.40 : 188,578.44 = 76,222 : x
  2. Step 2: Convert to fraction form
    136,651.40/188,578.44 = 76,222/x
  3. Step 3: Cross multiply
    136,651.40x = 188,578.44 × 76,222
  4. Step 4: Simplify right side
    136,651.40x = 14,373,825,853.68
  5. Step 5: Solve for x
    x = 14,373,825,853.68/136,651.40
  6. Step 6: Final answer
    x = 105,186.09

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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.