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Finding the Fourth Proportional to 72,771.76, 109,184.34 and 30,662.44

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Solution

The fourth proportional to 72,771.76, 109,184.34 and 30,662.44 is: 46,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771.76 : 109,184.34 = 30,662.44 : x
  2. Step 2: Convert to fraction form
    72,771.76/109,184.34 = 30,662.44/x
  3. Step 3: Cross multiply
    72,771.76x = 109,184.34 × 30,662.44
  4. Step 4: Simplify right side
    72,771.76x = 3,347,858,274.19
  5. Step 5: Solve for x
    x = 3,347,858,274.19/72,771.76
  6. Step 6: Final answer
    x = 46,004.91

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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.