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Finding the Fourth Proportional to 129,160.32, 193,742.40 and 85,069.44

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Solution

The fourth proportional to 129,160.32, 193,742.40 and 85,069.44 is: 127,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,160.32 : 193,742.40 = 85,069.44 : x
  2. Step 2: Convert to fraction form
    129,160.32/193,742.40 = 85,069.44/x
  3. Step 3: Cross multiply
    129,160.32x = 193,742.40 × 85,069.44
  4. Step 4: Simplify right side
    129,160.32x = 16,481,557,472.26
  5. Step 5: Solve for x
    x = 16,481,557,472.26/129,160.32
  6. Step 6: Final answer
    x = 127,605.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.