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Finding the Fourth Proportional to 87,647, 120,952.86 and 47,903

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Solution

The fourth proportional to 87,647, 120,952.86 and 47,903 is: 66,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,647 : 120,952.86 = 47,903 : x
  2. Step 2: Convert to fraction form
    87,647/120,952.86 = 47,903/x
  3. Step 3: Cross multiply
    87,647x = 120,952.86 × 47,903
  4. Step 4: Simplify right side
    87,647x = 5,794,004,852.58
  5. Step 5: Solve for x
    x = 5,794,004,852.58/87,647
  6. Step 6: Final answer
    x = 66,106.14

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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.