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Finding the Fourth Proportional to 80,055.78, 120,086.10 and 27,464.50

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Solution

The fourth proportional to 80,055.78, 120,086.10 and 27,464.50 is: 41,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,055.78 : 120,086.10 = 27,464.50 : x
  2. Step 2: Convert to fraction form
    80,055.78/120,086.10 = 27,464.50/x
  3. Step 3: Cross multiply
    80,055.78x = 120,086.10 × 27,464.50
  4. Step 4: Simplify right side
    80,055.78x = 3,298,104,693.45
  5. Step 5: Solve for x
    x = 3,298,104,693.45/80,055.78
  6. Step 6: Final answer
    x = 41,197.58

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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.