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Finding the Fourth Proportional to 103,765.10, 155,647.65 and 91,517.90

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Solution

The fourth proportional to 103,765.10, 155,647.65 and 91,517.90 is: 137,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,765.10 : 155,647.65 = 91,517.90 : x
  2. Step 2: Convert to fraction form
    103,765.10/155,647.65 = 91,517.90/x
  3. Step 3: Cross multiply
    103,765.10x = 155,647.65 × 91,517.90
  4. Step 4: Simplify right side
    103,765.10x = 14,244,546,067.94
  5. Step 5: Solve for x
    x = 14,244,546,067.94/103,765.10
  6. Step 6: Final answer
    x = 137,276.85

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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.