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Finding the Fourth Proportional to 87,991.12, 120,978.11 and 78,339.16

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Solution

The fourth proportional to 87,991.12, 120,978.11 and 78,339.16 is: 107,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,991.12 : 120,978.11 = 78,339.16 : x
  2. Step 2: Convert to fraction form
    87,991.12/120,978.11 = 78,339.16/x
  3. Step 3: Cross multiply
    87,991.12x = 120,978.11 × 78,339.16
  4. Step 4: Simplify right side
    87,991.12x = 9,477,322,821.65
  5. Step 5: Solve for x
    x = 9,477,322,821.65/87,991.12
  6. Step 6: Final answer
    x = 107,707.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.