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Finding the Fourth Proportional to 80,245.88, 120,382.48 and 40,283.96

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Solution

The fourth proportional to 80,245.88, 120,382.48 and 40,283.96 is: 60,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,245.88 : 120,382.48 = 40,283.96 : x
  2. Step 2: Convert to fraction form
    80,245.88/120,382.48 = 40,283.96/x
  3. Step 3: Cross multiply
    80,245.88x = 120,382.48 × 40,283.96
  4. Step 4: Simplify right side
    80,245.88x = 4,849,483,009.02
  5. Step 5: Solve for x
    x = 4,849,483,009.02/80,245.88
  6. Step 6: Final answer
    x = 60,432.80

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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.