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Finding the Fourth Proportional to 78,786.56, 118,006.20 and 65,122.58

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Solution

The fourth proportional to 78,786.56, 118,006.20 and 65,122.58 is: 97,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786.56 : 118,006.20 = 65,122.58 : x
  2. Step 2: Convert to fraction form
    78,786.56/118,006.20 = 65,122.58/x
  3. Step 3: Cross multiply
    78,786.56x = 118,006.20 × 65,122.58
  4. Step 4: Simplify right side
    78,786.56x = 7,684,867,609.97
  5. Step 5: Solve for x
    x = 7,684,867,609.97/78,786.56
  6. Step 6: Final answer
    x = 97,540.34

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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.