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Finding the Fourth Proportional to 149,145, 205,820.14 and 82,077

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Solution

The fourth proportional to 149,145, 205,820.14 and 82,077 is: 113,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,145 : 205,820.14 = 82,077 : x
  2. Step 2: Convert to fraction form
    149,145/205,820.14 = 82,077/x
  3. Step 3: Cross multiply
    149,145x = 205,820.14 × 82,077
  4. Step 4: Simplify right side
    149,145x = 16,893,099,630.78
  5. Step 5: Solve for x
    x = 16,893,099,630.78/149,145
  6. Step 6: Final answer
    x = 113,266.28

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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.