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Finding the Fourth Proportional to 149,129.82, 205,799.14 and 82,061.82

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Solution

The fourth proportional to 149,129.82, 205,799.14 and 82,061.82 is: 113,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.82 : 205,799.14 = 82,061.82 : x
  2. Step 2: Convert to fraction form
    149,129.82/205,799.14 = 82,061.82/x
  3. Step 3: Cross multiply
    149,129.82x = 205,799.14 × 82,061.82
  4. Step 4: Simplify right side
    149,129.82x = 16,888,251,982.83
  5. Step 5: Solve for x
    x = 16,888,251,982.83/149,129.82
  6. Step 6: Final answer
    x = 113,245.31

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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.