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Finding the Fourth Proportional to 87,383.50, 130,793.31 and 45,205.50

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Solution

The fourth proportional to 87,383.50, 130,793.31 and 45,205.50 is: 67,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,383.50 : 130,793.31 = 45,205.50 : x
  2. Step 2: Convert to fraction form
    87,383.50/130,793.31 = 45,205.50/x
  3. Step 3: Cross multiply
    87,383.50x = 130,793.31 × 45,205.50
  4. Step 4: Simplify right side
    87,383.50x = 5,912,576,975.21
  5. Step 5: Solve for x
    x = 5,912,576,975.21/87,383.50
  6. Step 6: Final answer
    x = 67,662.40

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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.