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Finding the Fourth Proportional to 78,827.20, 118,240.80 and 75,716.80

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Solution

The fourth proportional to 78,827.20, 118,240.80 and 75,716.80 is: 113,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.20 : 118,240.80 = 75,716.80 : x
  2. Step 2: Convert to fraction form
    78,827.20/118,240.80 = 75,716.80/x
  3. Step 3: Cross multiply
    78,827.20x = 118,240.80 × 75,716.80
  4. Step 4: Simplify right side
    78,827.20x = 8,952,815,005.44
  5. Step 5: Solve for x
    x = 8,952,815,005.44/78,827.20
  6. Step 6: Final answer
    x = 113,575.20

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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.