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Finding the Fourth Proportional to 78,321.56, 117,481.80 and 19,158.08

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Solution

The fourth proportional to 78,321.56, 117,481.80 and 19,158.08 is: 28,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.56 : 117,481.80 = 19,158.08 : x
  2. Step 2: Convert to fraction form
    78,321.56/117,481.80 = 19,158.08/x
  3. Step 3: Cross multiply
    78,321.56x = 117,481.80 × 19,158.08
  4. Step 4: Simplify right side
    78,321.56x = 2,250,725,722.94
  5. Step 5: Solve for x
    x = 2,250,725,722.94/78,321.56
  6. Step 6: Final answer
    x = 28,736.99

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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.