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Finding the Fourth Proportional to 80,781.04, 120,983.46 and 77,978.44

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Solution

The fourth proportional to 80,781.04, 120,983.46 and 77,978.44 is: 116,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,781.04 : 120,983.46 = 77,978.44 : x
  2. Step 2: Convert to fraction form
    80,781.04/120,983.46 = 77,978.44/x
  3. Step 3: Cross multiply
    80,781.04x = 120,983.46 × 77,978.44
  4. Step 4: Simplify right side
    80,781.04x = 9,434,101,476.60
  5. Step 5: Solve for x
    x = 9,434,101,476.60/80,781.04
  6. Step 6: Final answer
    x = 116,786.09

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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.