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Finding the Fourth Proportional to 311,860.72, 467,761.92 and 87,241.36

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Solution

The fourth proportional to 311,860.72, 467,761.92 and 87,241.36 is: 130,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.72 : 467,761.92 = 87,241.36 : x
  2. Step 2: Convert to fraction form
    311,860.72/467,761.92 = 87,241.36/x
  3. Step 3: Cross multiply
    311,860.72x = 467,761.92 × 87,241.36
  4. Step 4: Simplify right side
    311,860.72x = 40,808,186,057.01
  5. Step 5: Solve for x
    x = 40,808,186,057.01/311,860.72
  6. Step 6: Final answer
    x = 130,853.88

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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.