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Finding the Fourth Proportional to 103,850.72, 155,672.56 and 43,894.32

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Solution

The fourth proportional to 103,850.72, 155,672.56 and 43,894.32 is: 65,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,850.72 : 155,672.56 = 43,894.32 : x
  2. Step 2: Convert to fraction form
    103,850.72/155,672.56 = 43,894.32/x
  3. Step 3: Cross multiply
    103,850.72x = 155,672.56 × 43,894.32
  4. Step 4: Simplify right side
    103,850.72x = 6,833,141,163.86
  5. Step 5: Solve for x
    x = 6,833,141,163.86/103,850.72
  6. Step 6: Final answer
    x = 65,797.73

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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.