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Finding the Fourth Proportional to 80,537.86, 120,797.40 and 21,378.12

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Solution

The fourth proportional to 80,537.86, 120,797.40 and 21,378.12 is: 32,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,537.86 : 120,797.40 = 21,378.12 : x
  2. Step 2: Convert to fraction form
    80,537.86/120,797.40 = 21,378.12/x
  3. Step 3: Cross multiply
    80,537.86x = 120,797.40 × 21,378.12
  4. Step 4: Simplify right side
    80,537.86x = 2,582,421,206.00
  5. Step 5: Solve for x
    x = 2,582,421,206.00/80,537.86
  6. Step 6: Final answer
    x = 32,064.69

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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.