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Finding the Fourth Proportional to 87,183, 130,793.94 and 31,779

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Solution

The fourth proportional to 87,183, 130,793.94 and 31,779 is: 47,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,183 : 130,793.94 = 31,779 : x
  2. Step 2: Convert to fraction form
    87,183/130,793.94 = 31,779/x
  3. Step 3: Cross multiply
    87,183x = 130,793.94 × 31,779
  4. Step 4: Simplify right side
    87,183x = 4,156,500,619.26
  5. Step 5: Solve for x
    x = 4,156,500,619.26/87,183
  6. Step 6: Final answer
    x = 47,675.59

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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.