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Finding the Fourth Proportional to 149,029.66, 205,656.87 and 81,961.66

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Solution

The fourth proportional to 149,029.66, 205,656.87 and 81,961.66 is: 113,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,029.66 : 205,656.87 = 81,961.66 : x
  2. Step 2: Convert to fraction form
    149,029.66/205,656.87 = 81,961.66/x
  3. Step 3: Cross multiply
    149,029.66x = 205,656.87 × 81,961.66
  4. Step 4: Simplify right side
    149,029.66x = 16,855,978,455.60
  5. Step 5: Solve for x
    x = 16,855,978,455.60/149,029.66
  6. Step 6: Final answer
    x = 113,104.86

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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.