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Finding the Fourth Proportional to 136,865.44, 205,311.12 and 53,740

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Solution

The fourth proportional to 136,865.44, 205,311.12 and 53,740 is: 80,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,865.44 : 205,311.12 = 53,740 : x
  2. Step 2: Convert to fraction form
    136,865.44/205,311.12 = 53,740/x
  3. Step 3: Cross multiply
    136,865.44x = 205,311.12 × 53,740
  4. Step 4: Simplify right side
    136,865.44x = 11,033,419,588.80
  5. Step 5: Solve for x
    x = 11,033,419,588.80/136,865.44
  6. Step 6: Final answer
    x = 80,615.09

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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.