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Finding the Fourth Proportional to 149,836, 206,775.84 and 82,768

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Solution

The fourth proportional to 149,836, 206,775.84 and 82,768 is: 114,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,836 : 206,775.84 = 82,768 : x
  2. Step 2: Convert to fraction form
    149,836/206,775.84 = 82,768/x
  3. Step 3: Cross multiply
    149,836x = 206,775.84 × 82,768
  4. Step 4: Simplify right side
    149,836x = 17,114,422,725.12
  5. Step 5: Solve for x
    x = 17,114,422,725.12/149,836
  6. Step 6: Final answer
    x = 114,221.03

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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.