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Finding the Fourth Proportional to 140,893.50, 194,452.92 and 87,195.81

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Solution

The fourth proportional to 140,893.50, 194,452.92 and 87,195.81 is: 120,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,893.50 : 194,452.92 = 87,195.81 : x
  2. Step 2: Convert to fraction form
    140,893.50/194,452.92 = 87,195.81/x
  3. Step 3: Cross multiply
    140,893.50x = 194,452.92 × 87,195.81
  4. Step 4: Simplify right side
    140,893.50x = 16,955,479,866.27
  5. Step 5: Solve for x
    x = 16,955,479,866.27/140,893.50
  6. Step 6: Final answer
    x = 120,342.53

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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.