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Finding the Fourth Proportional to 103,619, 155,428.50 and 33,498.32

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Solution

The fourth proportional to 103,619, 155,428.50 and 33,498.32 is: 50,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 155,428.50 = 33,498.32 : x
  2. Step 2: Convert to fraction form
    103,619/155,428.50 = 33,498.32/x
  3. Step 3: Cross multiply
    103,619x = 155,428.50 × 33,498.32
  4. Step 4: Simplify right side
    103,619x = 5,206,593,630.12
  5. Step 5: Solve for x
    x = 5,206,593,630.12/103,619
  6. Step 6: Final answer
    x = 50,247.48

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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.