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Finding the Fourth Proportional to 103,687.10, 155,694.68 and 78,755.30

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Solution

The fourth proportional to 103,687.10, 155,694.68 and 78,755.30 is: 118,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687.10 : 155,694.68 = 78,755.30 : x
  2. Step 2: Convert to fraction form
    103,687.10/155,694.68 = 78,755.30/x
  3. Step 3: Cross multiply
    103,687.10x = 155,694.68 × 78,755.30
  4. Step 4: Simplify right side
    103,687.10x = 12,261,781,231.80
  5. Step 5: Solve for x
    x = 12,261,781,231.80/103,687.10
  6. Step 6: Final answer
    x = 118,257.54

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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.