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Finding the Fourth Proportional to 136,431.84, 188,226 and 82,678.08

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Solution

The fourth proportional to 136,431.84, 188,226 and 82,678.08 is: 114,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,431.84 : 188,226 = 82,678.08 : x
  2. Step 2: Convert to fraction form
    136,431.84/188,226 = 82,678.08/x
  3. Step 3: Cross multiply
    136,431.84x = 188,226 × 82,678.08
  4. Step 4: Simplify right side
    136,431.84x = 15,562,164,286.08
  5. Step 5: Solve for x
    x = 15,562,164,286.08/136,431.84
  6. Step 6: Final answer
    x = 114,065.49

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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.