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Finding the Fourth Proportional to 149,651, 206,518.65 and 82,583

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Solution

The fourth proportional to 149,651, 206,518.65 and 82,583 is: 113,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651 : 206,518.65 = 82,583 : x
  2. Step 2: Convert to fraction form
    149,651/206,518.65 = 82,583/x
  3. Step 3: Cross multiply
    149,651x = 206,518.65 × 82,583
  4. Step 4: Simplify right side
    149,651x = 17,054,929,672.95
  5. Step 5: Solve for x
    x = 17,054,929,672.95/149,651
  6. Step 6: Final answer
    x = 113,964.69

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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.