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Finding the Fourth Proportional to 87,991.11, 120,978.12 and 78,339.15

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Solution

The fourth proportional to 87,991.11, 120,978.12 and 78,339.15 is: 107,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,991.11 : 120,978.12 = 78,339.15 : x
  2. Step 2: Convert to fraction form
    87,991.11/120,978.12 = 78,339.15/x
  3. Step 3: Cross multiply
    87,991.11x = 120,978.12 × 78,339.15
  4. Step 4: Simplify right side
    87,991.11x = 9,477,323,089.40
  5. Step 5: Solve for x
    x = 9,477,323,089.40/87,991.11
  6. Step 6: Final answer
    x = 107,707.73

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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.