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Finding the Fourth Proportional to 80,636.50, 120,956.41 and 29,343.40

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Solution

The fourth proportional to 80,636.50, 120,956.41 and 29,343.40 is: 44,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,636.50 : 120,956.41 = 29,343.40 : x
  2. Step 2: Convert to fraction form
    80,636.50/120,956.41 = 29,343.40/x
  3. Step 3: Cross multiply
    80,636.50x = 120,956.41 × 29,343.40
  4. Step 4: Simplify right side
    80,636.50x = 3,549,272,570.81
  5. Step 5: Solve for x
    x = 3,549,272,570.81/80,636.50
  6. Step 6: Final answer
    x = 44,015.71

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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.