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Finding the Fourth Proportional to 149,256, 205,973.28 and 82,188

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Solution

The fourth proportional to 149,256, 205,973.28 and 82,188 is: 113,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,256 : 205,973.28 = 82,188 : x
  2. Step 2: Convert to fraction form
    149,256/205,973.28 = 82,188/x
  3. Step 3: Cross multiply
    149,256x = 205,973.28 × 82,188
  4. Step 4: Simplify right side
    149,256x = 16,928,531,936.64
  5. Step 5: Solve for x
    x = 16,928,531,936.64/149,256
  6. Step 6: Final answer
    x = 113,419.44

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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.