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Finding the Fourth Proportional to 72,791.10, 109,186.02 and 20,200.59

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Solution

The fourth proportional to 72,791.10, 109,186.02 and 20,200.59 is: 30,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791.10 : 109,186.02 = 20,200.59 : x
  2. Step 2: Convert to fraction form
    72,791.10/109,186.02 = 20,200.59/x
  3. Step 3: Cross multiply
    72,791.10x = 109,186.02 × 20,200.59
  4. Step 4: Simplify right side
    72,791.10x = 2,205,621,376.82
  5. Step 5: Solve for x
    x = 2,205,621,376.82/72,791.10
  6. Step 6: Final answer
    x = 30,300.70

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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.