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Finding the Fourth Proportional to 78,830.20, 118,245.30 and 75,719.80

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Solution

The fourth proportional to 78,830.20, 118,245.30 and 75,719.80 is: 113,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.20 : 118,245.30 = 75,719.80 : x
  2. Step 2: Convert to fraction form
    78,830.20/118,245.30 = 75,719.80/x
  3. Step 3: Cross multiply
    78,830.20x = 118,245.30 × 75,719.80
  4. Step 4: Simplify right side
    78,830.20x = 8,953,510,466.94
  5. Step 5: Solve for x
    x = 8,953,510,466.94/78,830.20
  6. Step 6: Final answer
    x = 113,579.70

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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.