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Finding the Fourth Proportional to 149,033, 205,662.68 and 81,965

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Solution

The fourth proportional to 149,033, 205,662.68 and 81,965 is: 113,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,033 : 205,662.68 = 81,965 : x
  2. Step 2: Convert to fraction form
    149,033/205,662.68 = 81,965/x
  3. Step 3: Cross multiply
    149,033x = 205,662.68 × 81,965
  4. Step 4: Simplify right side
    149,033x = 16,857,141,566.20
  5. Step 5: Solve for x
    x = 16,857,141,566.20/149,033
  6. Step 6: Final answer
    x = 113,110.13

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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.