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Finding the Fourth Proportional to 149,134.82, 205,806.08 and 82,066.82

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Solution

The fourth proportional to 149,134.82, 205,806.08 and 82,066.82 is: 113,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,134.82 : 205,806.08 = 82,066.82 : x
  2. Step 2: Convert to fraction form
    149,134.82/205,806.08 = 82,066.82/x
  3. Step 3: Cross multiply
    149,134.82x = 205,806.08 × 82,066.82
  4. Step 4: Simplify right side
    149,134.82x = 16,889,850,111.93
  5. Step 5: Solve for x
    x = 16,889,850,111.93/149,134.82
  6. Step 6: Final answer
    x = 113,252.22

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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.