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Finding the Fourth Proportional to 72,691.10, 109,000.20 and 33,203.60

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Solution

The fourth proportional to 72,691.10, 109,000.20 and 33,203.60 is: 49,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691.10 : 109,000.20 = 33,203.60 : x
  2. Step 2: Convert to fraction form
    72,691.10/109,000.20 = 33,203.60/x
  3. Step 3: Cross multiply
    72,691.10x = 109,000.20 × 33,203.60
  4. Step 4: Simplify right side
    72,691.10x = 3,619,199,040.72
  5. Step 5: Solve for x
    x = 3,619,199,040.72/72,691.10
  6. Step 6: Final answer
    x = 49,788.75

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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.