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Finding the Fourth Proportional to 72,690.75, 109,023.84 and 20,100.42

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Solution

The fourth proportional to 72,690.75, 109,023.84 and 20,100.42 is: 30,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,690.75 : 109,023.84 = 20,100.42 : x
  2. Step 2: Convert to fraction form
    72,690.75/109,023.84 = 20,100.42/x
  3. Step 3: Cross multiply
    72,690.75x = 109,023.84 × 20,100.42
  4. Step 4: Simplify right side
    72,690.75x = 2,191,424,974.01
  5. Step 5: Solve for x
    x = 2,191,424,974.01/72,690.75
  6. Step 6: Final answer
    x = 30,147.23

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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.