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Finding the Fourth Proportional to 149,112, 205,774.56 and 82,044

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Solution

The fourth proportional to 149,112, 205,774.56 and 82,044 is: 113,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,112 : 205,774.56 = 82,044 : x
  2. Step 2: Convert to fraction form
    149,112/205,774.56 = 82,044/x
  3. Step 3: Cross multiply
    149,112x = 205,774.56 × 82,044
  4. Step 4: Simplify right side
    149,112x = 16,882,568,000.64
  5. Step 5: Solve for x
    x = 16,882,568,000.64/149,112
  6. Step 6: Final answer
    x = 113,220.72

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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.