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Finding the Fourth Proportional to 87,647.94, 120,954.15 and 47,361.71

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Solution

The fourth proportional to 87,647.94, 120,954.15 and 47,361.71 is: 65,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,647.94 : 120,954.15 = 47,361.71 : x
  2. Step 2: Convert to fraction form
    87,647.94/120,954.15 = 47,361.71/x
  3. Step 3: Cross multiply
    87,647.94x = 120,954.15 × 47,361.71
  4. Step 4: Simplify right side
    87,647.94x = 5,728,594,770.83
  5. Step 5: Solve for x
    x = 5,728,594,770.83/87,647.94
  6. Step 6: Final answer
    x = 65,359.15

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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.