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Finding the Fourth Proportional to 72,791.20, 109,121.84 and 28,407.64

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Solution

The fourth proportional to 72,791.20, 109,121.84 and 28,407.64 is: 42,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791.20 : 109,121.84 = 28,407.64 : x
  2. Step 2: Convert to fraction form
    72,791.20/109,121.84 = 28,407.64/x
  3. Step 3: Cross multiply
    72,791.20x = 109,121.84 × 28,407.64
  4. Step 4: Simplify right side
    72,791.20x = 3,099,893,946.86
  5. Step 5: Solve for x
    x = 3,099,893,946.86/72,791.20
  6. Step 6: Final answer
    x = 42,586.11

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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.