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Finding the Fourth Proportional to 78,858.01, 108,863.09 and 48,659.98

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Solution

The fourth proportional to 78,858.01, 108,863.09 and 48,659.98 is: 67,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858.01 : 108,863.09 = 48,659.98 : x
  2. Step 2: Convert to fraction form
    78,858.01/108,863.09 = 48,659.98/x
  3. Step 3: Cross multiply
    78,858.01x = 108,863.09 × 48,659.98
  4. Step 4: Simplify right side
    78,858.01x = 5,297,275,782.14
  5. Step 5: Solve for x
    x = 5,297,275,782.14/78,858.01
  6. Step 6: Final answer
    x = 67,174.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.