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Finding the Fourth Proportional to 78,450.60, 117,674.84 and 19,286.82

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Solution

The fourth proportional to 78,450.60, 117,674.84 and 19,286.82 is: 28,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450.60 : 117,674.84 = 19,286.82 : x
  2. Step 2: Convert to fraction form
    78,450.60/117,674.84 = 19,286.82/x
  3. Step 3: Cross multiply
    78,450.60x = 117,674.84 × 19,286.82
  4. Step 4: Simplify right side
    78,450.60x = 2,269,573,457.61
  5. Step 5: Solve for x
    x = 2,269,573,457.61/78,450.60
  6. Step 6: Final answer
    x = 28,929.97

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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.