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Finding the Fourth Proportional to 80,309.53, 120,454.08 and 21,149.83

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Solution

The fourth proportional to 80,309.53, 120,454.08 and 21,149.83 is: 31,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,309.53 : 120,454.08 = 21,149.83 : x
  2. Step 2: Convert to fraction form
    80,309.53/120,454.08 = 21,149.83/x
  3. Step 3: Cross multiply
    80,309.53x = 120,454.08 × 21,149.83
  4. Step 4: Simplify right side
    80,309.53x = 2,547,583,314.81
  5. Step 5: Solve for x
    x = 2,547,583,314.81/80,309.53
  6. Step 6: Final answer
    x = 31,722.05

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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.