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Finding the Fourth Proportional to 149,556, 206,391.60 and 82,492.32

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Solution

The fourth proportional to 149,556, 206,391.60 and 82,492.32 is: 113,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,556 : 206,391.60 = 82,492.32 : x
  2. Step 2: Convert to fraction form
    149,556/206,391.60 = 82,492.32/x
  3. Step 3: Cross multiply
    149,556x = 206,391.60 × 82,492.32
  4. Step 4: Simplify right side
    149,556x = 17,025,721,912.51
  5. Step 5: Solve for x
    x = 17,025,721,912.51/149,556
  6. Step 6: Final answer
    x = 113,841.78

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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.