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Finding the Fourth Proportional to 80,142.84, 120,252.06 and 35,765.64

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Solution

The fourth proportional to 80,142.84, 120,252.06 and 35,765.64 is: 53,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142.84 : 120,252.06 = 35,765.64 : x
  2. Step 2: Convert to fraction form
    80,142.84/120,252.06 = 35,765.64/x
  3. Step 3: Cross multiply
    80,142.84x = 120,252.06 × 35,765.64
  4. Step 4: Simplify right side
    80,142.84x = 4,300,891,887.22
  5. Step 5: Solve for x
    x = 4,300,891,887.22/80,142.84
  6. Step 6: Final answer
    x = 53,665.33

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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.