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Finding the Fourth Proportional to 72,090.88, 108,175.12 and 30,000

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Solution

The fourth proportional to 72,090.88, 108,175.12 and 30,000 is: 45,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090.88 : 108,175.12 = 30,000 : x
  2. Step 2: Convert to fraction form
    72,090.88/108,175.12 = 30,000/x
  3. Step 3: Cross multiply
    72,090.88x = 108,175.12 × 30,000
  4. Step 4: Simplify right side
    72,090.88x = 3,245,253,600
  5. Step 5: Solve for x
    x = 3,245,253,600/72,090.88
  6. Step 6: Final answer
    x = 45,016.15

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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.