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Finding the Fourth Proportional to 80,032.56, 120,048.72 and 23,871.20

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Solution

The fourth proportional to 80,032.56, 120,048.72 and 23,871.20 is: 35,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032.56 : 120,048.72 = 23,871.20 : x
  2. Step 2: Convert to fraction form
    80,032.56/120,048.72 = 23,871.20/x
  3. Step 3: Cross multiply
    80,032.56x = 120,048.72 × 23,871.20
  4. Step 4: Simplify right side
    80,032.56x = 2,865,707,004.86
  5. Step 5: Solve for x
    x = 2,865,707,004.86/80,032.56
  6. Step 6: Final answer
    x = 35,806.76

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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.