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Finding the Fourth Proportional to 80,465.61, 120,651.36 and 24,288.87

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Solution

The fourth proportional to 80,465.61, 120,651.36 and 24,288.87 is: 36,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.61 : 120,651.36 = 24,288.87 : x
  2. Step 2: Convert to fraction form
    80,465.61/120,651.36 = 24,288.87/x
  3. Step 3: Cross multiply
    80,465.61x = 120,651.36 × 24,288.87
  4. Step 4: Simplify right side
    80,465.61x = 2,930,485,198.36
  5. Step 5: Solve for x
    x = 2,930,485,198.36/80,465.61
  6. Step 6: Final answer
    x = 36,419.10

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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.