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Finding the Fourth Proportional to 80,384.16, 120,592.80 and 27,786.72

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Solution

The fourth proportional to 80,384.16, 120,592.80 and 27,786.72 is: 41,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,384.16 : 120,592.80 = 27,786.72 : x
  2. Step 2: Convert to fraction form
    80,384.16/120,592.80 = 27,786.72/x
  3. Step 3: Cross multiply
    80,384.16x = 120,592.80 × 27,786.72
  4. Step 4: Simplify right side
    80,384.16x = 3,350,878,367.62
  5. Step 5: Solve for x
    x = 3,350,878,367.62/80,384.16
  6. Step 6: Final answer
    x = 41,685.80

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1.5x scale

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.