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Finding the Fourth Proportional to 161,760.40, 242,647.80 and 55,142.80

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Solution

The fourth proportional to 161,760.40, 242,647.80 and 55,142.80 is: 82,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,760.40 : 242,647.80 = 55,142.80 : x
  2. Step 2: Convert to fraction form
    161,760.40/242,647.80 = 55,142.80/x
  3. Step 3: Cross multiply
    161,760.40x = 242,647.80 × 55,142.80
  4. Step 4: Simplify right side
    161,760.40x = 13,380,279,105.84
  5. Step 5: Solve for x
    x = 13,380,279,105.84/161,760.40
  6. Step 6: Final answer
    x = 82,716.65

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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.