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Finding the Fourth Proportional to 80,477.64, 120,729.15 and 24,310.77

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Solution

The fourth proportional to 80,477.64, 120,729.15 and 24,310.77 is: 36,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,477.64 : 120,729.15 = 24,310.77 : x
  2. Step 2: Convert to fraction form
    80,477.64/120,729.15 = 24,310.77/x
  3. Step 3: Cross multiply
    80,477.64x = 120,729.15 × 24,310.77
  4. Step 4: Simplify right side
    80,477.64x = 2,935,018,597.95
  5. Step 5: Solve for x
    x = 2,935,018,597.95/80,477.64
  6. Step 6: Final answer
    x = 36,469.99

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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.