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Finding the Fourth Proportional to 78,291.87, 117,416.84 and 22,118.77

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Solution

The fourth proportional to 78,291.87, 117,416.84 and 22,118.77 is: 33,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.87 : 117,416.84 = 22,118.77 : x
  2. Step 2: Convert to fraction form
    78,291.87/117,416.84 = 22,118.77/x
  3. Step 3: Cross multiply
    78,291.87x = 117,416.84 × 22,118.77
  4. Step 4: Simplify right side
    78,291.87x = 2,597,116,238.68
  5. Step 5: Solve for x
    x = 2,597,116,238.68/78,291.87
  6. Step 6: Final answer
    x = 33,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.