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Finding the Fourth Proportional to 149,688, 206,569.68 and 82,620

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Solution

The fourth proportional to 149,688, 206,569.68 and 82,620 is: 114,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,688 : 206,569.68 = 82,620 : x
  2. Step 2: Convert to fraction form
    149,688/206,569.68 = 82,620/x
  3. Step 3: Cross multiply
    149,688x = 206,569.68 × 82,620
  4. Step 4: Simplify right side
    149,688x = 17,066,786,961.60
  5. Step 5: Solve for x
    x = 17,066,786,961.60/149,688
  6. Step 6: Final answer
    x = 114,015.73

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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.