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Finding the Fourth Proportional to 87,507, 120,759.66 and 47,763

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Solution

The fourth proportional to 87,507, 120,759.66 and 47,763 is: 65,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,507 : 120,759.66 = 47,763 : x
  2. Step 2: Convert to fraction form
    87,507/120,759.66 = 47,763/x
  3. Step 3: Cross multiply
    87,507x = 120,759.66 × 47,763
  4. Step 4: Simplify right side
    87,507x = 5,767,843,640.58
  5. Step 5: Solve for x
    x = 5,767,843,640.58/87,507
  6. Step 6: Final answer
    x = 65,912.94

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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.