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Finding the Fourth Proportional to 78,811.10, 118,043.85 and 68,443.10

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Solution

The fourth proportional to 78,811.10, 118,043.85 and 68,443.10 is: 102,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811.10 : 118,043.85 = 68,443.10 : x
  2. Step 2: Convert to fraction form
    78,811.10/118,043.85 = 68,443.10/x
  3. Step 3: Cross multiply
    78,811.10x = 118,043.85 × 68,443.10
  4. Step 4: Simplify right side
    78,811.10x = 8,079,287,029.94
  5. Step 5: Solve for x
    x = 8,079,287,029.94/78,811.10
  6. Step 6: Final answer
    x = 102,514.58

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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.