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Finding the Fourth Proportional to 218,772.72, 327,961.80 and 78,498.36

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Solution

The fourth proportional to 218,772.72, 327,961.80 and 78,498.36 is: 117,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,772.72 : 327,961.80 = 78,498.36 : x
  2. Step 2: Convert to fraction form
    218,772.72/327,961.80 = 78,498.36/x
  3. Step 3: Cross multiply
    218,772.72x = 327,961.80 × 78,498.36
  4. Step 4: Simplify right side
    218,772.72x = 25,744,463,442.65
  5. Step 5: Solve for x
    x = 25,744,463,442.65/218,772.72
  6. Step 6: Final answer
    x = 117,676.75

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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.