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Finding the Fourth Proportional to 78,758.44, 118,006.20 and 55,342.96

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Solution

The fourth proportional to 78,758.44, 118,006.20 and 55,342.96 is: 82,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,758.44 : 118,006.20 = 55,342.96 : x
  2. Step 2: Convert to fraction form
    78,758.44/118,006.20 = 55,342.96/x
  3. Step 3: Cross multiply
    78,758.44x = 118,006.20 × 55,342.96
  4. Step 4: Simplify right side
    78,758.44x = 6,530,812,406.35
  5. Step 5: Solve for x
    x = 6,530,812,406.35/78,758.44
  6. Step 6: Final answer
    x = 82,922.06

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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.