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Finding the Fourth Proportional to 149,145.44, 205,820.74 and 82,077.44

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Solution

The fourth proportional to 149,145.44, 205,820.74 and 82,077.44 is: 113,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,145.44 : 205,820.74 = 82,077.44 : x
  2. Step 2: Convert to fraction form
    149,145.44/205,820.74 = 82,077.44/x
  3. Step 3: Cross multiply
    149,145.44x = 205,820.74 × 82,077.44
  4. Step 4: Simplify right side
    149,145.44x = 16,893,239,438.11
  5. Step 5: Solve for x
    x = 16,893,239,438.11/149,145.44
  6. Step 6: Final answer
    x = 113,266.89

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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.