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Finding the Fourth Proportional to 149,696.64, 206,573.76 and 82,615.68

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Solution

The fourth proportional to 149,696.64, 206,573.76 and 82,615.68 is: 114,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.64 : 206,573.76 = 82,615.68 : x
  2. Step 2: Convert to fraction form
    149,696.64/206,573.76 = 82,615.68/x
  3. Step 3: Cross multiply
    149,696.64x = 206,573.76 × 82,615.68
  4. Step 4: Simplify right side
    149,696.64x = 17,066,231,652.56
  5. Step 5: Solve for x
    x = 17,066,231,652.56/149,696.64
  6. Step 6: Final answer
    x = 114,005.44

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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.