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Finding the Fourth Proportional to 149,715.32, 206,610.90 and 85,181

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Solution

The fourth proportional to 149,715.32, 206,610.90 and 85,181 is: 117,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715.32 : 206,610.90 = 85,181 : x
  2. Step 2: Convert to fraction form
    149,715.32/206,610.90 = 85,181/x
  3. Step 3: Cross multiply
    149,715.32x = 206,610.90 × 85,181
  4. Step 4: Simplify right side
    149,715.32x = 17,599,323,072.90
  5. Step 5: Solve for x
    x = 17,599,323,072.90/149,715.32
  6. Step 6: Final answer
    x = 117,551.92

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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.