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Finding the Fourth Proportional to 104.09, 156.25 and 50.03

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Solution

The fourth proportional to 104.09, 156.25 and 50.03 is: 75.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.09 : 156.25 = 50.03 : x
  2. Step 2: Convert to fraction form
    104.09/156.25 = 50.03/x
  3. Step 3: Cross multiply
    104.09x = 156.25 × 50.03
  4. Step 4: Simplify right side
    104.09x = 7,817.33
  5. Step 5: Solve for x
    x = 7,817.33/104.09
  6. Step 6: Final answer
    x = 75.10

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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.