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Finding the Fourth Proportional to 123,711.56, 170,799.23 and 85,016.03

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Solution

The fourth proportional to 123,711.56, 170,799.23 and 85,016.03 is: 117,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,711.56 : 170,799.23 = 85,016.03 : x
  2. Step 2: Convert to fraction form
    123,711.56/170,799.23 = 85,016.03/x
  3. Step 3: Cross multiply
    123,711.56x = 170,799.23 × 85,016.03
  4. Step 4: Simplify right side
    123,711.56x = 14,520,672,463.57
  5. Step 5: Solve for x
    x = 14,520,672,463.57/123,711.56
  6. Step 6: Final answer
    x = 117,375.23

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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.