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Finding the Fourth Proportional to 80,421.72, 120,637.80 and 27,824.28

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Solution

The fourth proportional to 80,421.72, 120,637.80 and 27,824.28 is: 41,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,421.72 : 120,637.80 = 27,824.28 : x
  2. Step 2: Convert to fraction form
    80,421.72/120,637.80 = 27,824.28/x
  3. Step 3: Cross multiply
    80,421.72x = 120,637.80 × 27,824.28
  4. Step 4: Simplify right side
    80,421.72x = 3,356,659,925.78
  5. Step 5: Solve for x
    x = 3,356,659,925.78/80,421.72
  6. Step 6: Final answer
    x = 41,738.23

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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.