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Finding the Fourth Proportional to 78,821.20, 118,231.80 and 75,710.80

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Solution

The fourth proportional to 78,821.20, 118,231.80 and 75,710.80 is: 113,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.20 : 118,231.80 = 75,710.80 : x
  2. Step 2: Convert to fraction form
    78,821.20/118,231.80 = 75,710.80/x
  3. Step 3: Cross multiply
    78,821.20x = 118,231.80 × 75,710.80
  4. Step 4: Simplify right side
    78,821.20x = 8,951,424,163.44
  5. Step 5: Solve for x
    x = 8,951,424,163.44/78,821.20
  6. Step 6: Final answer
    x = 113,566.20

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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.