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Finding the Fourth Proportional to 103,991.64, 156,015.12 and 32,915.64

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Solution

The fourth proportional to 103,991.64, 156,015.12 and 32,915.64 is: 49,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,991.64 : 156,015.12 = 32,915.64 : x
  2. Step 2: Convert to fraction form
    103,991.64/156,015.12 = 32,915.64/x
  3. Step 3: Cross multiply
    103,991.64x = 156,015.12 × 32,915.64
  4. Step 4: Simplify right side
    103,991.64x = 5,135,337,524.48
  5. Step 5: Solve for x
    x = 5,135,337,524.48/103,991.64
  6. Step 6: Final answer
    x = 49,382.21

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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.