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Finding the Fourth Proportional to 103,990.64, 156,013.62 and 32,914.64

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Solution

The fourth proportional to 103,990.64, 156,013.62 and 32,914.64 is: 49,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,990.64 : 156,013.62 = 32,914.64 : x
  2. Step 2: Convert to fraction form
    103,990.64/156,013.62 = 32,914.64/x
  3. Step 3: Cross multiply
    103,990.64x = 156,013.62 × 32,914.64
  4. Step 4: Simplify right side
    103,990.64x = 5,135,132,137.40
  5. Step 5: Solve for x
    x = 5,135,132,137.40/103,990.64
  6. Step 6: Final answer
    x = 49,380.71

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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.