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Finding the Fourth Proportional to 72,791.76, 109,214.34 and 30,682.44

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Solution

The fourth proportional to 72,791.76, 109,214.34 and 30,682.44 is: 46,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791.76 : 109,214.34 = 30,682.44 : x
  2. Step 2: Convert to fraction form
    72,791.76/109,214.34 = 30,682.44/x
  3. Step 3: Cross multiply
    72,791.76x = 109,214.34 × 30,682.44
  4. Step 4: Simplify right side
    72,791.76x = 3,350,962,434.19
  5. Step 5: Solve for x
    x = 3,350,962,434.19/72,791.76
  6. Step 6: Final answer
    x = 46,034.91

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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.